Prova2-2013-6-12_Gabarito

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UFRJ
Instituto de Matemática
Disciplina: Algebra Linear II - MAE 125
Professor: Bruno, Gregório, Luiz Carlos, Mario,
Milton, Monique e Umberto
Data: 12 de junho de 2013
Segunda Prova
1. Se a matriz A, 2× 2, satisfaz A =
[
1 0
2 1
]
U, assinale
a afirmativa VERDADEIRA:
(a) A segunda linha de A é igual a duas vezes
a primeira linha de U somada à segunda
linha de U
(b) A segunda linha de U é igual à segunda linha de
A somada a duas vezes a primeira linha de A
(c) A segunda coluna de A é igual à segunda coluna
de U menos duas vezes a primeira coluna de U
(d) A segunda coluna de A é igual à segunda coluna
de U menos duas vezes a primeira coluna de A
2. Sejam u1, . . . ,un vetores gerando um espaço vetorial
V . Sejam v1, . . . ,vk ∈ V vetores linearmente inde-
pendentes. Assinale a afirmativa VERDADEIRA:
(a) n ≥ k
(b) n = k
(c) n ≤ k
(d) n > k
3. O determinante da matriz

1 1 0 1
1 3 2 2
0 0 −2 0
2 4 2 6
 é:
(a) −12
(b) −20
(c) −19
(d) −11
4. Seja T uma transformação linear de Rn em Rk. Se
k < n, assinale a afirmativa VERDADEIRA:
(a) T nunca será injetora
(b) T sempre será sobrejetora
(c) T sempre será bijetora
(d) T nunca será sobrejetora
5. A matriz que representa uma transformação linear de
R2 em R3, cuja imagem está no plano x+ y+4z = 0
é:
(a)
 4 00 4
−1 −1

(b)
[
4 0 −1
0 4 −1
]
(c)
 4 00 4
1 1

(d)
[
4 0 1
0 4 1
]
6. Seja Pn = {p | p é polinômio de grau ≤ n} e seja T a
transformação linear,
T : P2 → P3
p 7→ (x− 1)p
Assinale a afirmativa VERDADEIRA:
(a) A imagem de T tem dimensão 3
(b) O núcleo de T tem dimensão 3
(c) A imagem de T tem dimensão 1
(d) T não é linear
7. Se A é uma transformação linear, qual das afirmativas
abaixo é verdadeira?
(a) Se {Av1, Av2, · · · , Avk} são linearmente in-
dependentes, então {v1,v2, · · · ,vk} são li-
nearmente independentes
(b) Se {v1,v2, · · · ,vk} são linearmente independen-
tes, então {Av1, Av2, · · · , Avk} são linearmente
independentes
(c) Se {Av1, Av2, · · · , Avk} são linearmente depen-
dentes, então {v1,v2, · · · ,vk} são linearmente
dependentes
(d) Podemos ter {v1,v2, · · · ,vk} linearmente de-
pendentes e {Av1, Av2, · · · , Avk} linearmente
independentes
8. Seja V um espaço vetorial e α e β duas bases distin-
tas de V . Sejam v e w dois vetores distintos de V .
Denotamos as coordenadas de v em relação à base α
por [v]α. Podemos sempre afirmar que:
(a) [v]α 6= [w]α
(b) [v]β 6= [w]α
(c) [v]α 6= [w]β
(d) [v]α 6= [v]β
9. Sejam U e W subespaços do espaço vetorial V . Se
sabemos que U não está contido em W , nem W está
contido em U , podemos afirmar que
(a) U
⋂
W é um subespaço de V , mas U
⋃
W
não é um subespaço de V
(b) U
⋂
W é um subespaço de V e U
⋃
W pode ser
um subespaço de V
(c) U
⋂
W não é um subespaço de V e U
⋃
W tam-
bém não é um subespaço de V
(d) U
⋂
W é um subespaço de V e U
⋃
W também
é um subespaço de V
Gabarito Pág. 1
10. Seja A =
12 3 18 4 3
1 1 1

Qual das matrizes poderia ser a inversa de A?
(a)
 1 −2 ∗−5 ∗ ∗
∗ ∗ ∗

(b)
 1 −5 ∗−2 ∗ ∗
∗ ∗ ∗

(c)
 −5 −2 ∗1 ∗ ∗
∗ ∗ ∗

(d)
 111 2 ∗1
8 ∗ ∗∗ ∗ ∗

11. Calcule a soma das coordenadas do vetor (4, 1) na
base {(2, 2), (2, 4)}
(a) 2
(b) 4
(c) 5
(d) 1
12. Assinale a aplicação que NÃO é linear:
(a) T : R3 → R3, onde: T (x, y, z) = (2x +
y,−z/x, x+ y + z/2).
(b) T : R3 → R4, onde:T (x, y, z) = (2x + y,−z, x−
y + 2z, z − x).
(c) T : P3 → P3, onde: T (p(x)) = p′(x) e P3 =
{p | p é polinômio de grau ≤ 3} .
(d) T : R3 → R3, onde T (v) é a projeção ortogonal
dos vetores do R3 no plano x−2y+z = 0, seguida
de rotação de 30o em torno do eixo Y .
13. Seja A uma matriz n × k e B uma matriz n × n.
Suponha que a imagem de A está contida no núcleo
de B. Então podemos dizer que:
(a) BA = 0
(b) BA é injetiva
(c) BA é sobrejetiva
(d) BA = I
14. A matriz que representa a transformação linear
T : R3 → R3 definida por
T (x, y, z) = (2x+ 4y,−4x− 5y, 3z) é
(a)
 2 4 0−4 −5 0
0 0 3

(b)
 2 −4 04 −5 0
0 0 3

(c)
 2 0 4−4 0 −5
0 3 0

(d)
 2 0 −44 0 −5
0 3 0

15. Seja T uma transformação linear, T : R3 → R2, cuja
imagem é a reta 3x+ 4y = 0 e cujo núcleo é o plano
de equação z = 3x + 4y. Assinale uma matriz que
representa esta transformação linear:
(a)
[
3 4 −1
− 94 −3 34
]
(b)
[
3 4 1
3 4 0
]
(c)
 3 34 4
1 0

(d)
 3 − 944 −3
1 34

Gabarito Pág. 2
Gabarito dos 447 Testes Gerados
Teste 001: 1C 2B 3B 4B 5B 6C 7A 8A 9A 10A 11A 12D 13C 14C 15B
Teste 002: 1C 2C 3D 4D 5B 6D 7C 8A 9A 10C 11A 12B 13D 14C 15A
Teste 003: 1A 2D 3D 4C 5B 6C 7A 8C 9B 10A 11D 12B 13A 14B 15D
Teste 004: 1D 2D 3B 4C 5A 6A 7D 8B 9D 10D 11B 12C 13A 14C 15A
Teste 005: 1D 2C 3B 4A 5B 6B 7A 8C 9A 10D 11A 12C 13D 14D 15B
Teste 006: 1A 2B 3B 4C 5A 6B 7C 8C 9C 10A 11B 12D 13B 14D 15C
Teste 007: 1B 2C 3A 4A 5B 6D 7D 8D 9C 10D 11D 12A 13A 14B 15C
Teste 008: 1B 2D 3B 4D 5B 6B 7D 8B 9A 10C 11A 12A 13A 14A 15D
Teste 009: 1A 2A 3A 4C 5C 6C 7B 8B 9B 10C 11C 12B 13D 14D 15B
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Teste 054:
1B 2D 3C 4B 5D 6B 7B 8C 9B 10A 11A 12C 13C 14A 15D
Teste 055: 1B 2C 3A 4A 5A 6D 7B 8A 9C 10C 11B 12C 13D 14D 15D
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Gabarito Pág. 1
Teste 057: 1D 2C 3D 4C 5A 6A 7A 8C 9D 10C 11C 12B 13D 14A 15D
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Teste 070: 1D 2A 3C 4C 5C 6D 7A 8C 9A 10A 11B 12B 13C 14B 15A
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Teste 076: 1D 2B 3C 4D 5B 6A 7B 8A 9B 10C 11B 12C 13A 14D 15C
Teste 077: 1A 2A 3B 4A 5A 6D 7B 8D 9D 10A 11C 12B 13C 14C 15B
Teste 078: 1C 2C 3B 4A 5D 6C 7D 8D 9D 10C 11D 12B 13C 14A 15A
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Gabarito Pág. 2
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Teste 156: 1D 2A 3A 4B 5D 6C 7A 8D 9D 10D 11B 12A 13C 14A 15C
Teste 157: 1C 2C 3B 4D 5A 6A 7C 8C 9A 10A 11A 12C 13B 14D 15B
Teste 158: 1D 2B 3A 4D 5A 6A 7C 8C 9B 10B 11B 12D 13C 14B 15C
Teste 159: 1D 2A 3C 4C 5A 6B 7A 8C 9B 10D 11D 12D 13A 14D 15B
Teste 160: 1A 2B 3D 4C 5D 6B 7B 8C 9A 10D 11B 12B 13D 14C 15D
Teste 161: 1B 2A 3D 4C 5C 6C 7B 8B 9C 10D 11B 12C 13D 14A 15A
Teste 162: 1C 2D 3B 4C 5C 6C 7A 8C 9B 10B 11A 12D 13B 14B 15D
Teste 163: 1D 2A 3B 4B 5D 6D 7C 8D 9C 10A 11C 12B 13B 14A 15B
Teste 164: 1A 2C 3B 4A 5B 6C 7B 8A 9D 10B 11A 12A 13C 14D 15C
Teste 165: 1C 2B 3C 4B 5D 6D 7A 8A 9A 10C 11A 12C 13A 14B 15D
Teste 166: 1D 2D 3C 4A 5C 6C 7D 8D 9A 10C 11B 12D 13A 14B 15C
Teste 167: 1B 2D 3C 4B 5B 6A 7B 8D 9C 10A 11D 12C 13D 14C 15A
Teste 168: 1B 2B 3B 4B 5C 6B 7C 8D 9D 10C 11C 12D 13A 14A 15C
Teste 169: 1B 2B 3A 4C 5B 6D 7A 8D 9D 10C 11C 12C 13C 14A 15B
Teste 170: 1D 2A 3B 4C 5A 6D 7A 8C 9A 10C 11C 12D 13C 14A 15D
Teste 171: 1B 2C 3A 4D 5D 6B 7A 8B 9D 10D 11B 12B 13D 14A 15C
Teste 172: 1A 2D 3A 4D 5A 6B 7C 8A 9A 10B 11B 12B 13B 14C 15D
Teste 173: 1A 2A 3B 4B 5A 6C 7D 8B 9D 10B 11D 12A 13B 14A 15C
Teste 174: 1A 2A 3A 4D 5A 6B 7B 8D 9C 10D 11D 12B 13B 14C 15A
Gabarito Pág. 3
Teste 175: 1B 2D 3C 4B 5A 6B 7C 8C 9C 10D 11A 12C 13A 14B 15D
Teste 176: 1B 2C 3C 4A 5B 6A 7C 8C 9B 10C 11B 12A 13D 14A 15A
Teste 177: 1D 2B 3A 4B 5B 6C 7A 8D 9D 10D 11D 12C 13A 14B 15B
Teste 178: 1A 2D 3B 4D 5A 6C 7A 8C 9B 10D 11B 12C 13C 14C 15A
Teste 179: 1D 2D 3C 4D 5B 6D 7A 8D 9A 10B 11C 12C 13C 14C 15A
Teste 180: 1C 2A 3D 4B 5B 6C 7B 8D 9D 10B 11C
12C 13D 14A 15C
Teste 181: 1D 2A 3A 4B 5C 6D 7D 8A 9D 10C 11C 12C 13D 14B 15B
Teste 182: 1D 2D 3B 4D 5A 6A 7C 8C 9C 10C 11A 12D 13C 14B 15B
Teste 183: 1B 2D 3C 4A 5B 6C 7D 8A 9B 10A 11B 12B 13A 14C 15D
Teste 184: 1D 2C 3B 4B 5C 6B 7A 8A 9A 10C 11C 12B 13D 14C 15A
Teste 185: 1A 2B 3D 4A 5C 6C 7D 8C 9D 10B 11D 12D 13C 14B 15A
Teste 186: 1B 2D 3A 4B 5B 6A 7C 8D 9C 10B 11A 12D 13D 14B 15D
Teste 187: 1C 2B 3C 4D 5A 6D 7A 8C 9B 10B 11D 12D 13A 14A 15A
Teste 188: 1B 2B 3B 4B 5B 6A 7A 8D 9A 10D 11A 12C 13A 14D 15C
Teste 189: 1A 2C 3A 4D 5A 6D 7B 8D 9C 10A 11C 12B 13D 14B 15C
Teste 190: 1C 2D 3A 4C 5C 6D 7B 8C 9C 10A 11D 12B 13D 14B 15D
Teste 191: 1A 2C 3D 4B 5D 6D 7A 8C 9D 10D 11B 12B 13B 14C 15C
Teste 192: 1A 2C 3B 4B 5A 6D 7B 8A 9B 10D 11C 12C 13D 14A 15A
Teste 193: 1B 2D 3B 4D 5A 6D 7D 8B 9B 10C 11A 12B 13C 14C 15A
Teste 194: 1D 2C 3C 4C 5A 6D 7D 8C 9C 10D 11B 12D 13A 14B 15A
Teste 195: 1C 2C 3D 4A 5A 6B 7A 8B 9B 10D 11B 12B 13C 14A 15A
Teste 196: 1B 2C 3B 4C 5B 6A 7D 8A 9A 10A 11C 12A 13D 14B 15B
Teste 197: 1A 2B 3A 4A 5C 6B 7B 8D 9A 10B 11A 12C 13B 14C 15C
Teste 198: 1A 2D 3B 4B 5A 6D 7A 8B 9C 10A 11C 12C 13B 14C 15C
Teste 199: 1D 2B 3D 4C 5D 6A 7D 8C 9C 10D 11A 12C 13C 14A 15A
Teste 200: 1A 2B 3C 4A 5A 6B 7A 8A 9B 10C 11D 12D 13C 14D 15B
Teste 201: 1D 2B 3A 4D 5D 6A 7B 8A 9A 10C 11A 12C 13D 14B 15C
Teste 202: 1C 2D 3C 4A 5A 6B 7D 8A 9D 10C 11C 12A 13C 14D 15A
Teste 203: 1B 2B 3B 4D 5B 6D 7A 8A 9B 10C 11C 12C 13A 14A 15C
Teste 204: 1B 2D 3D 4A 5C 6D 7C 8A 9C 10C 11C 12B 13A 14B 15B
Teste 205: 1A 2A 3D 4B 5A 6C 7D 8C 9C 10B 11C 12D 13D 14B 15D
Teste 206: 1C 2C 3C 4B 5D 6C 7B 8B 9B 10B 11C 12D 13D 14A 15D
Teste 207: 1A 2B 3C 4D 5B 6D 7A 8A 9D 10A 11B 12C 13D 14A 15B
Teste 208: 1C 2A 3B 4B 5A 6D 7C 8C 9A 10C 11C 12A 13D 14A 15D
Teste 209: 1C 2C 3C 4A 5C 6A 7A 8B 9B 10C 11A 12B 13A 14D 15B
Teste 210: 1A 2B 3B 4A 5D 6D 7A 8B 9A 10B 11C 12C 13A 14C 15B
Teste 211: 1C 2A 3D 4D 5D 6C 7A 8C 9C 10D 11D 12B 13A 14C 15B
Teste 212: 1A 2C 3C 4A 5D 6B 7B 8B 9D 10D 11B 12C 13B 14D 15C
Teste 213: 1C 2D 3A 4C 5D 6B 7C 8A 9C 10B 11A 12A 13C 14A 15D
Teste 214: 1C 2B 3C 4B 5D 6D 7B 8B 9A 10C 11B 12C 13D 14A 15C
Teste 215: 1B 2C 3C 4B 5C 6B 7C 8C 9D 10A 11B 12D 13A 14A 15B
Teste 216: 1B 2D 3C 4B 5C 6C 7A 8C 9B 10A 11C 12D 13D 14B 15B
Teste 217: 1C 2B 3B 4D 5B 6D 7D 8B 9A 10D 11B 12A 13A 14A 15D
Teste 218: 1D 2A 3D 4B 5A 6B 7C 8D 9D 10C 11B 12A 13A 14A 15D
Teste 219: 1B 2C 3B 4A 5D 6B 7D 8D 9D 10B 11B 12C 13C 14A 15D
Teste 220: 1A 2C 3A 4C 5D 6B 7A 8D 9B 10A 11C 12B 13D 14A 15D
Teste 221: 1A 2C 3C 4A 5C 6A 7A 8C 9C 10A 11B 12B 13D 14B 15B
Teste 222: 1B 2D 3B 4C 5A 6C 7D 8A 9A 10C 11A 12B 13A 14D 15D
Teste 223: 1A 2B 3D 4A 5B 6B 7A 8A 9A 10C 11C 12B 13D 14D 15D
Teste 224: 1C 2D 3A 4A 5A 6B 7D 8B 9A 10B 11D 12A 13D 14B 15B
Teste 225: 1B 2D 3C 4B 5D 6A 7C 8C 9C 10C 11A 12D 13B 14D 15B
Teste 226: 1B 2A 3A 4C 5B 6B 7A 8D 9B 10A 11C 12B 13A 14D 15D
Teste 227: 1C 2A 3B 4D 5C 6D 7D 8A 9C 10C 11B 12C 13D 14D 15B
Teste 228: 1C 2C 3A 4C 5B 6A 7A 8D 9C 10A 11D 12C 13B 14B 15B
Teste 229: 1A 2A 3B 4D 5B 6B 7B 8B 9C 10C 11A 12C 13D 14D 15A
Teste 230: 1A 2B 3C 4A 5C 6D 7C 8D 9B 10B 11A 12B 13D 14B 15A
Teste 231: 1D 2A 3A 4D 5D 6A 7A 8A 9B 10C 11B 12C 13C 14C 15B
Teste 232: 1C 2B 3D 4A 5D 6D 7B 8B 9A 10D 11B 12B 13C 14D 15C
Teste 233: 1A 2D 3B 4D 5C 6B 7C 8B 9B 10B 11D 12C 13A 14D 15D
Gabarito Pág. 4
Teste 234: 1D 2D 3C 4A 5A 6C 7B 8A 9C 10C 11C 12D 13D 14D 15A
Teste 235: 1D 2C 3B 4A 5A 6B 7C 8A 9A 10C 11B 12C 13B 14C 15D
Teste 236: 1D 2B 3C 4D 5B 6D 7A 8B 9A 10C 11B 12A 13A 14A 15D
Teste 237: 1C 2D 3D 4A 5B 6A 7C 8D 9C 10A 11C 12C 13A 14B 15B
Teste 238: 1D 2C 3A 4C 5B 6D 7C 8C 9D 10A 11C 12D 13B 14D 15A
Teste 239: 1A 2D 3C 4A 5A 6B 7A 8A 9B 10C 11B 12B 13D 14B 15A
Teste 240: 1A 2A 3D 4A 5B 6A 7B 8D 9C 10A 11B 12D 13C 14B 15C
Teste 241: 1D 2A 3A 4C 5C 6A 7C 8D 9A 10B 11C 12D 13C 14D 15B
Teste 242: 1C 2A 3A 4C 5C 6C 7D 8A 9B 10A 11D 12C 13D 14A 15B
Teste 243: 1D 2D 3A 4D 5D 6C 7C 8B 9D 10C 11A 12C 13B 14C 15D
Teste 244: 1A 2C 3C 4C 5B 6B 7A 8D 9A 10D 11B 12B 13B 14D 15A
Teste 245: 1A 2D 3B 4B 5D 6B 7C 8B 9D 10B 11C 12D 13C 14A 15A
Teste 246: 1C 2C 3C 4A 5D 6C 7B 8B 9D 10B 11D 12B 13C 14D 15B
Teste 247: 1B 2D 3D 4C 5B 6D 7B 8A 9C 10B 11B 12D 13C 14C 15A
Teste 248: 1B 2C 3D 4B 5B 6D 7A 8B 9D 10C 11C 12B 13C 14D 15C
Teste 249: 1A 2A 3A 4D 5C 6A 7D 8A 9B 10D 11C 12C 13B 14B 15C
Teste 250: 1C 2A 3B 4A 5D 6B 7D 8B 9B 10B 11A 12A 13A 14C 15C
Teste 251: 1A 2A 3C 4D 5B 6B 7A 8B 9B 10A 11D 12A 13B 14D 15C
Teste 252: 1D 2C 3D 4A 5B 6D 7C 8B 9B 10B 11A 12B 13A 14C 15D
Teste 253: 1C 2B 3B 4A 5D 6B 7A 8A 9D 10C 11B 12D 13C 14C 15B
Teste 254: 1B 2A 3D 4D 5A 6C 7B 8A 9B 10D 11A 12D 13A 14C 15B
Teste 255: 1B 2B 3C 4D 5B 6C 7C 8D 9A 10C 11C 12B 13B 14A 15D
Teste 256: 1D 2D 3C 4D 5B 6A 7B 8C 9B 10D 11D 12C 13B 14C 15C
Teste 257: 1B 2A 3D 4C 5B 6D 7B 8D 9C 10B 11A 12C 13D 14C 15B
Teste 258: 1B 2A 3A 4A 5C 6C 7C 8A 9A 10D 11B 12D 13D 14D 15C
Teste 259: 1B 2C 3B 4C 5D 6A 7C 8D 9A 10C 11A 12C 13A 14A 15D
Teste 260: 1B 2D 3B 4C 5A 6D 7C 8A 9D 10B 11A 12B 13C 14A 15D
Teste 261: 1C 2A 3B 4D 5D 6A 7A 8B 9D 10C 11A 12D 13D 14A 15B
Teste 262: 1B 2D 3D 4B 5A 6D 7C 8A 9A 10C 11D 12B 13B 14A 15A
Teste 263: 1B 2C 3D 4C 5A 6B 7D 8A 9C 10D 11B 12A 13B 14D 15D
Teste 264: 1D 2D 3A 4B 5A 6B 7D 8A 9C 10C 11A 12A 13C 14C 15B
Teste 265: 1A 2D 3C 4C 5B 6D 7B 8A 9B 10C 11C 12D 13B 14D 15D
Teste 266: 1A 2A 3B 4A 5D 6C 7A 8C 9B 10A 11D 12D 13D 14B 15B
Teste 267: 1C 2A 3C 4C 5B 6B 7B 8C 9D 10B 11D 12C 13B 14A 15D
Teste 268: 1D 2C 3A 4D 5D 6B 7B 8B 9A 10C 11C 12A 13A 14B 15A
Teste 269: 1A 2C 3A 4B 5A 6C 7C 8B 9B 10D 11C 12D 13C 14D 15B
Teste 270: 1C 2C 3B 4A 5D 6C 7A 8D 9B 10C 11A 12B 13C 14B 15D
Teste 271: 1B 2A 3B 4B 5A 6D 7C 8A 9B 10D 11C 12D 13A 14D 15C
Teste 272: 1A 2C 3B 4C 5A 6A 7B 8C 9B 10B 11A 12D 13C 14D 15B
Teste 273: 1A 2B 3B 4D 5D 6A 7A 8D 9C 10D 11B 12D 13A 14B 15A
Teste 274: 1A 2A 3B 4B 5D 6A 7B 8B 9B 10D 11A 12D 13D 14D 15C
Teste 275: 1A 2C 3C 4C 5B 6B 7D 8B 9A 10B 11A 12C 13B 14C 15A
Teste 276: 1B 2C 3A 4A 5A 6D 7B 8B 9A 10A 11D 12D 13B 14C 15B
Teste 277: 1D 2A 3C 4D 5B 6A 7D 8B 9A 10A 11B 12D 13C 14B 15C
Teste 278: 1C 2A 3D 4C 5A 6C 7B 8A 9A 10C 11C 12A 13D 14C 15D
Teste 279: 1B 2B 3B 4B 5B 6A 7A 8D 9C 10A 11D 12D 13C 14D 15C
Teste 280: 1B 2C 3A 4C 5C 6B 7B 8B 9A 10D 11C 12A 13D 14B 15A
Teste 281: 1B 2A 3C 4C 5C 6D 7C 8A 9A 10C 11B 12B 13A 14B 15D
Teste 282: 1B 2C 3C 4D 5C 6B 7C 8C 9A 10A 11B 12A 13D 14B 15A
Teste 283: 1A 2D 3A 4C 5B 6A 7B 8C 9B 10B 11B 12A 13A 14D 15C
Teste 284: 1C 2C 3B 4B 5B 6B 7C 8D 9C 10B 11C 12D 13A 14D 15D
Teste 285: 1B 2D 3A 4C 5C 6A 7C 8A 9B 10B 11A 12A 13D 14C 15B
Teste 286: 1D 2D 3A 4D 5C 6A 7A 8D 9A 10B 11A 12B 13D 14B 15D
Teste 287: 1C 2C 3C 4C 5D 6D 7B 8B 9C 10A 11A 12A 13B 14A 15A
Teste 288: 1A 2D 3C 4A 5A 6A 7C 8A 9B 10C 11B 12C 13D 14C 15D
Teste 289: 1A 2C 3D 4A 5D 6A 7A 8D 9A 10D 11C 12C 13B 14B 15B
Teste 290: 1B 2C 3B 4C 5C 6D 7D 8B 9A 10B 11B 12C 13D 14A 15C
Teste 291: 1D 2C 3D 4B 5B 6A 7C 8D 9A 10A 11C 12D 13D 14A 15A
Teste 292: 1D 2C 3A 4D 5A 6A 7B 8B 9B 10D 11B 12B 13C 14A 15D
Gabarito Pág. 5
Teste 293: 1C 2B 3A 4D 5A 6C 7A 8B 9B 10A 11B 12D 13A 14C 15D
Teste 294: 1C 2B 3D 4C 5C 6C 7B 8C 9A 10A 11B 12A 13B 14D 15A
Teste 295: 1C 2D 3A 4A 5D 6B 7C 8C 9D 10D 11B 12A 13C 14A 15D
Teste 296: 1B 2A 3C 4B 5D 6A 7B 8D 9D 10C 11D 12B 13D 14B 15C
Teste 297: 1C 2D 3C 4D 5B 6C 7D 8D 9A 10D 11B 12B 13A 14A 15C
Teste 298: 1A 2D 3A 4A 5C 6C 7C 8D 9A 10B 11C 12A 13D 14B 15D
Teste 299: 1C 2D 3D 4B 5A 6A 7C 8C 9A 10A 11C 12B 13D 14B 15D
Teste 300: 1B 2C 3A 4D 5A 6C 7B 8C 9B 10A 11C 12C 13D 14A 15A
Teste 301: 1D 2B 3C 4A 5A 6B 7C 8C 9A 10C 11A 12B 13D 14D 15D
Teste 302: 1D 2C 3D 4B 5C 6C 7C 8C 9A 10A 11B 12D 13B 14A 15D
Teste 303: 1B 2C 3D 4D 5C 6A 7C 8A 9C 10C 11A 12B 13A 14D 15A
Teste 304: 1B 2A 3A 4A 5C 6C 7B 8C 9B 10D 11A 12C 13D 14B 15C
Teste 305: 1A 2C 3C 4D 5C 6C 7A 8B 9D 10B 11D 12B 13D 14B 15C
Teste 306: 1B 2D 3C 4A 5D 6B 7B 8B 9D 10D 11C 12C 13D 14B 15D
Teste 307: 1D 2B 3B 4D 5A 6A 7B 8C 9A 10D
11D 12D 13A 14C 15A
Teste 308: 1D 2D 3C 4C 5C 6B 7B 8B 9D 10B 11D 12D 13B 14A 15A
Teste 309: 1D 2C 3C 4C 5D 6C 7D 8A 9B 10B 11B 12A 13B 14C 15A
Teste 310: 1C 2D 3C 4B 5A 6C 7A 8A 9B 10B 11A 12B 13A 14C 15B
Teste 311: 1C 2A 3C 4D 5B 6C 7B 8D 9B 10C 11A 12C 13A 14A 15A
Teste 312: 1C 2D 3C 4D 5B 6C 7A 8B 9D 10C 11B 12A 13C 14D 15A
Teste 313: 1D 2B 3D 4C 5C 6B 7C 8A 9B 10A 11C 12A 13A 14D 15B
Teste 314: 1C 2C 3B 4A 5A 6A 7C 8D 9B 10A 11C 12D 13A 14B 15C
Teste 315: 1C 2D 3A 4C 5C 6D 7D 8B 9A 10B 11A 12B 13B 14D 15C
Teste 316: 1D 2B 3C 4A 5B 6D 7A 8C 9D 10B 11C 12D 13B 14D 15B
Teste 317: 1A 2B 3B 4A 5D 6C 7A 8D 9B 10D 11C 12A 13B 14D 15B
Teste 318: 1B 2B 3B 4C 5D 6C 7A 8B 9C 10C 11A 12C 13B 14D 15D
Teste 319: 1D 2D 3A 4D 5B 6D 7C 8C 9C 10B 11B 12A 13B 14A 15D
Teste 320: 1D 2C 3A 4B 5B 6A 7D 8C 9B 10C 11B 12A 13B 14D 15D
Teste 321: 1B 2B 3B 4D 5A 6D 7C 8C 9D 10C 11D 12D 13C 14A 15B
Teste 322: 1A 2B 3C 4B 5C 6A 7C 8D 9A 10B 11D 12D 13A 14A 15B
Teste 323: 1D 2C 3A 4A 5B 6B 7A 8A 9A 10D 11B 12B 13B 14D 15D
Teste 324: 1A 2D 3B 4C 5B 6B 7D 8D 9D 10D 11C 12B 13A 14B 15A
Teste 325: 1B 2D 3C 4D 5B 6C 7C 8D 9A 10B 11B 12D 13D 14C 15C
Teste 326: 1D 2A 3C 4A 5A 6D 7D 8C 9B 10B 11A 12C 13D 14B 15D
Teste 327: 1D 2D 3A 4C 5D 6B 7B 8A 9B 10A 11D 12C 13A 14A 15D
Teste 328: 1A 2A 3C 4A 5A 6B 7D 8A 9D 10B 11C 12B 13C 14B 15D
Teste 329: 1A 2D 3D 4A 5A 6A 7B 8C 9B 10B 11A 12B 13B 14C 15C
Teste 330: 1B 2D 3B 4A 5B 6C 7D 8B 9C 10C 11D 12B 13A 14A 15A
Teste 331: 1D 2B 3C 4C 5B 6A 7B 8B 9B 10C 11C 12A 13A 14A 15A
Teste 332: 1C 2B 3A 4C 5A 6C 7B 8B 9A 10C 11D 12B 13B 14D 15C
Teste 333: 1B 2D 3B 4A 5B 6D 7B 8C 9C 10D 11C 12D 13C 14D 15B
Teste 334: 1C 2C 3B 4D 5C 6C 7C 8D 9A 10B 11D 12B 13A 14D 15D
Teste 335: 1D 2D 3A 4C 5A 6A 7D 8A 9C 10C 11A 12C 13D 14B 15C
Teste 336: 1D 2A 3C 4C 5C 6B 7A 8A 9C 10C 11B 12A 13A 14D 15A
Teste 337: 1D 2B 3B 4B 5B 6C 7B 8C 9C 10C 11C 12D 13D 14D 15A
Teste 338: 1D 2D 3B 4A 5C 6C 7C 8B 9C 10C 11D 12B 13D 14B 15B
Teste 339: 1B 2D 3B 4D 5D 6B 7A 8D 9A 10A 11A 12D 13A 14C 15B
Teste 340: 1D 2C 3C 4D 5D 6A 7A 8C 9D 10C 11A 12A 13B 14B 15C
Teste 341: 1C 2B 3C 4B 5C 6D 7D 8B 9D 10B 11B 12A 13D 14D 15C
Teste 342: 1B 2C 3D 4A 5B 6A 7A 8A 9A 10B 11C 12C 13B 14B 15D
Teste 343: 1C 2A 3C 4B 5C 6C 7D 8A 9A 10D 11D 12B 13D 14C 15A
Teste 344: 1B 2B 3A 4A 5B 6B 7A 8C 9C 10C 11A 12D 13C 14B 15A
Teste 345: 1B 2A 3B 4B 5A 6A 7C 8D 9C 10C 11D 12A 13C 14C 15D
Teste 346: 1B 2A 3D 4B 5C 6A 7D 8D 9B 10A 11A 12D 13C 14B 15A
Teste 347: 1C 2A 3B 4C 5D 6D 7D 8B 9D 10C 11C 12C 13B 14B 15D
Teste 348: 1D 2C 3A 4C 5D 6C 7A 8D 9C 10C 11A 12D 13B 14A 15D
Teste 349: 1A 2C 3B 4A 5D 6B 7B 8C 9B 10D 11C 12C 13A 14D 15D
Teste 350: 1D 2C 3C 4B 5A 6D 7D 8B 9D 10C 11B 12B 13D 14B 15A
Teste 351: 1C 2D 3A 4D 5A 6B 7B 8C 9D 10B 11D 12B 13C 14C 15B
Gabarito Pág. 6
Teste 352: 1C 2B 3D 4C 5B 6C 7D 8A 9A 10B 11D 12C 13A 14D 15A
Teste 353: 1D 2C 3D 4D 5A 6D 7D 8B 9C 10B 11C 12C 13A 14B 15C
Teste 354: 1B 2C 3D 4D 5D 6B 7C 8B 9B 10A 11C 12A 13D 14B 15D
Teste 355: 1A 2D 3B 4D 5B 6A 7C 8D 9D 10A 11A 12D 13C 14A 15C
Teste 356: 1C 2D 3C 4B 5D 6B 7B 8C 9A 10B 11A 12C 13D 14C 15B
Teste 357: 1A 2B 3D 4C 5B 6A 7B 8A 9B 10C 11B 12D 13D 14A 15A
Teste 358: 1D 2D 3B 4C 5C 6A 7B 8B 9C 10B 11D 12B 13A 14A 15A
Teste 359: 1D 2B 3B 4B 5D 6A 7B 8D 9B 10C 11C 12C 13C 14C 15D
Teste 360: 1B 2A 3A 4D 5C 6C 7B 8D 9D 10C 11A 12B 13B 14B 15D
Teste 361: 1C 2B 3D 4C 5C 6A 7B 8D 9A 10D 11B 12C 13B 14D 15D
Teste 362: 1B 2C 3B 4B 5C 6C 7A 8D 9D 10D 11B 12B 13A 14C 15A
Teste 363: 1C 2A 3C 4A 5B 6B 7C 8C 9B 10D 11A 12D 13C 14B 15B
Teste 364: 1C 2B 3B 4B 5C 6D 7A 8C 9D 10D 11D 12A 13B 14B 15C
Teste 365: 1A 2C 3A 4A 5A 6B 7B 8C 9D 10A 11C 12C 13D 14D 15B
Teste 366: 1A 2D 3B 4D 5D 6D 7C 8D 9B 10C 11C 12A 13B 14C 15B
Teste 367: 1D 2D 3C 4C 5C 6C 7A 8D 9D 10C 11D 12A 13A 14B 15C
Teste 368: 1A 2D 3B 4B 5A 6A 7B 8C 9B 10B 11C 12A 13C 14A 15C
Teste 369: 1B 2B 3D 4D 5A 6C 7B 8C 9A 10B 11C 12A 13D 14A 15C
Teste 370: 1C 2A 3A 4A 5B 6D 7D 8D 9C 10A 11A 12C 13C 14C 15B
Teste 371: 1C 2D 3C 4B 5C 6A 7D 8C 9C 10D 11B 12B 13B 14D 15B
Teste 372: 1B 2B 3C 4D 5A 6C 7D 8A 9C 10D 11A 12C 13A 14B 15B
Teste 373: 1D 2A 3A 4A 5B 6D 7B 8A 9B 10D 11D 12C 13C 14B 15C
Teste 374: 1B 2B 3C 4A 5B 6A 7C 8B 9C 10D 11B 12C 13C 14D 15A
Teste 375: 1A 2D 3C 4A 5D 6C 7A 8D 9C 10C 11D 12D 13B 14C 15B
Teste 376: 1A 2A 3C 4B 5B 6A 7A 8C 9B 10A 11D 12B 13B 14D 15C
Teste 377: 1A 2A 3B 4B 5A 6D 7D 8D 9D 10B 11D 12C 13B 14A 15B
Teste 378: 1B 2D 3D 4A 5A 6B 7B 8B 9A 10A 11C 12A 13C 14C 15C
Teste 379: 1D 2C 3C 4B 5D 6B 7B 8A 9C 10A 11C 12B 13B 14A 15D
Teste 380: 1A 2A 3A 4B 5A 6B 7B 8A 9D 10C 11C 12B 13D 14B 15D
Teste 381: 1C 2A 3D 4C 5B 6A 7B 8D 9A 10A 11C 12B 13D 14D 15C
Teste 382: 1A 2B 3B 4D 5D 6D 7C 8C 9A 10D 11C 12B 13D 14B 15B
Teste 383: 1C 2A 3A 4D 5A 6C 7C 8B 9A 10C 11B 12D 13C 14B 15A
Teste 384: 1D 2D 3D 4A 5A 6B 7C 8C 9D 10B 11D 12B 13B 14A 15A
Teste 385: 1C 2D 3D 4D 5D 6B 7C 8A 9D 10C 11C 12B 13C 14B 15B
Teste 386: 1D 2C 3A 4C 5C 6C 7B 8A 9D 10A 11D 12D 13B 14C 15A
Teste 387: 1B 2D 3D 4C 5B 6A 7A 8A 9B 10D 11B 12A 13C 14C 15A
Teste 388: 1D 2B 3D 4D 5A 6B 7B 8A 9A 10C 11C 12A 13A 14B 15D
Teste 389: 1A 2A 3C 4D 5C 6C 7D 8C 9C 10B 11A 12A 13B 14B 15D
Teste 390: 1A 2A 3C 4C 5A 6D 7A 8A 9B 10B 11B 12C 13B 14C 15B
Teste 391: 1C 2A 3B 4B 5B 6C 7C 8D 9B 10C 11D 12C 13A 14B 15D
Teste 392: 1B 2B 3D 4C 5D 6D 7C 8A 9C 10D 11D 12C 13A 14B 15B
Teste 393: 1D 2D 3B 4A 5C 6A 7A 8B 9C 10C 11C 12C 13D 14A 15A
Teste 394: 1A 2A 3A 4D 5C 6C 7D 8A 9D 10A 11B 12D 13B 14C 15B
Teste 395: 1B 2D 3B 4A 5C 6C 7A 8B 9D 10A 11B 12D 13B 14C 15D
Teste 396: 1C 2B 3C 4A 5D 6D 7B 8D 9A 10A 11A 12B 13B 14C 15B
Teste 397: 1B 2C 3B 4D 5C 6B 7A 8B 9B 10C 11A 12C 13C 14B 15D
Teste 398: 1A 2B 3B 4A 5C 6B 7C 8C 9C 10A 11C 12D 13B 14B 15D
Teste 399: 1D 2C 3B 4C 5C 6A 7D 8B 9D 10C 11B 12C 13A 14A 15A
Teste 400: 1A 2B 3A 4A 5C 6A 7A 8D 9D 10D 11C 12B 13D 14D 15B
Teste 401: 1B 2C 3B 4A 5D 6B 7C 8A 9A 10C 11D 12A 13D 14B 15A
Teste 402: 1A 2B 3B 4C 5B 6B 7D 8B 9D 10A 11C 12D 13D 14C 15D
Teste 403: 1B 2A 3C 4C 5B 6D 7C 8B 9A 10B 11C 12D 13D 14C 15B
Teste 404: 1A 2C 3A 4B 5D 6C 7D 8B 9A 10B 11D 12C 13D 14A 15B
Teste 405: 1A 2D 3B 4C 5A 6C 7A 8B 9B 10B 11B 12A 13D 14A 15C
Teste 406: 1D 2C 3B 4B 5C 6A 7A 8A 9D 10D 11D 12C 13D 14A 15C
Teste 407: 1B 2B 3D 4B 5B 6D 7C 8D 9D 10B 11D 12A 13A 14C 15A
Teste 408: 1A 2A 3B 4C 5D 6B 7A 8C 9B 10A 11B 12D 13B 14C 15C
Teste 409: 1D 2D 3A 4C 5D 6C 7A 8B 9A 10B 11A 12A 13B 14B 15B
Teste 410: 1B 2A 3B 4D 5C 6A 7A 8C 9A 10A 11D 12C 13C 14D 15B
Gabarito Pág. 7
Teste 411: 1D 2C 3D 4C 5C 6D 7B 8A 9C 10C 11A 12D 13A 14B 15D
Teste 412: 1C 2B 3D 4B 5A 6D 7D 8A 9B 10D 11D 12B 13B 14C 15C
Teste 413: 1D 2B 3A 4B 5D 6D 7D 8C 9D 10C 11A 12B 13C 14A 15C
Teste 414: 1C 2C 3B 4C 5D 6C 7A 8A 9A 10D 11D 12C 13D 14A 15D
Teste 415: 1D 2D 3B 4D 5A 6C 7D 8A 9A 10A 11D 12C 13B 14B 15C
Teste 416: 1C 2A 3C 4D 5D 6D 7C 8B 9D 10D 11B 12B 13B 14C 15A
Teste 417: 1D 2A 3A 4B 5D 6C 7A 8B 9D 10B 11C 12C 13C 14B 15C
Teste 418: 1A 2A 3A 4A 5C 6B 7C 8D 9C 10D 11D 12A 13C 14D 15B
Teste 419: 1B 2B 3D 4B 5B 6B 7C 8C 9C 10D 11D 12D 13C 14D 15C
Teste 420: 1A 2C 3C 4A 5D 6C 7A 8C 9A 10D 11D 12B 13B 14B 15C
Teste 421: 1C 2C 3C 4C 5D 6A 7C 8A 9D 10A 11D 12A 13D 14B 15A
Teste 422: 1C 2D 3C 4B 5D 6B 7D 8C 9D 10B 11C 12A 13C 14D 15B
Teste 423: 1D 2D 3C 4A 5B 6C 7C 8C 9C 10B 11B 12A 13A 14A 15D
Teste 424: 1B 2C 3D 4C 5C 6D 7A 8C 9B 10C 11D 12D 13B 14A 15A
Teste 425: 1D 2D 3A 4C 5B 6C 7C 8C 9B 10D 11D 12A 13C 14B 15A
Teste 426: 1D 2C 3A 4A 5D 6C 7C 8C 9A 10C 11B 12A 13D 14D 15B
Teste 427: 1C 2A 3D 4B 5C 6D 7A 8B 9D 10D 11D 12B 13B 14B 15C
Teste 428: 1D 2A 3B 4C 5A 6C 7C 8B 9B 10B 11B 12C 13A 14D 15A
Teste 429: 1D 2C 3B 4C 5D 6A 7B 8A 9B 10D 11A 12A 13A 14D 15B
Teste 430: 1B 2C 3A 4D 5B 6C 7D 8C 9B 10D 11B 12B 13D 14C 15C
Teste 431: 1A 2B 3B 4D 5D 6C 7D 8C 9B 10A 11D 12B 13D 14A 15A
Teste 432: 1B 2A 3D 4B 5B 6B 7C 8D 9D 10C 11D 12A 13B 14D 15A
Teste 433: 1B 2B 3D 4A 5D 6B 7C 8A 9A 10B 11C 12A 13B 14C 15D
Teste 434: 1A 2D 3B 4B 5A 6A 7D 8D 9D
10B 11A 12D 13B 14A 15C
Teste 435: 1D 2A 3C 4A 5B 6D 7B 8D 9C 10C 11C 12D 13C 14D 15B
Teste 436: 1A 2B 3A 4C 5A 6C 7C 8B 9D 10A 11C 12D 13C 14D 15D
Teste 437: 1A 2A 3B 4A 5C 6D 7D 8C 9D 10B 11C 12C 13B 14C 15A
Teste 438: 1C 2C 3A 4D 5B 6B 7D 8B 9C 10A 11C 12C 13B 14A 15B
Teste 439: 1A 2D 3B 4B 5C 6B 7A 8B 9C 10D 11C 12D 13D 14D 15A
Teste 440: 1B 2B 3D 4D 5B 6A 7A 8D 9C 10C 11A 12D 13D 14B 15A
Teste 441: 1B 2C 3B 4D 5B 6B 7D 8D 9C 10B 11D 12C 13A 14C 15A
Teste 442: 1C 2A 3B 4C 5C 6C 7D 8A 9D 10A 11B 12B 13C 14B 15B
Teste 443: 1D 2D 3A 4C 5A 6B 7D 8A 9A 10B 11C 12B 13A 14C 15D
Teste 444: 1B 2D 3A 4B 5B 6D 7D 8C 9B 10A 11D 12D 13C 14B 15C
Teste 445: 1D 2A 3B 4B 5C 6A 7C 8D 9D 10D 11A 12D 13B 14C 15B
Teste 446: 1D 2D 3B 4A 5B 6B 7C 8A 9B 10A 11B 12A 13C 14A 15C
Teste 447: 1C 2A 3D 4D 5B 6A 7A 8D 9A 10B 11D 12C 13D 14A 15A
Gabarito Pág. 8