ProvaFinalVersaoFinal_Gabarito.pdf

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UFRJ
Instituto de Matemática
Disciplina: Álgebra Linear II
Professor: Anne, Bruno, Felipe, Luiz Carlos, Mil-
ton, Monique, Umberto
Data: 19 de Dezembro de 2012
Prova FINAL
1. Sejam α = {(1, 1), (−1, 1)} e β =
{(−1,−4), (−2,−9)} duas bases de R2. A ma-
triz de mudança da base α para a base β é igual
a:
(a)
[ −7 11
3 −5
]
(b)
[ −13 3
−5 1
]
(c)
[ −7 3
11 −5
]
(d)
[ −13 −5
3 1
]
2. Os autovalores da transformação
T (x, y) = (−3x+ 5 y, x+ 3 y) são:
(a) {−2, 2}
(b) {−1, 1}
(c) {−3, 3}
(d) {−4, 4}
3. O polinômio característico de
 −1 1 10 −1 2
0 0 1
 é
pC(λ) = (λ + 1)
2(λ − 1). Os autovetores de A for-
mam um espaço de dimensão:
(a) 2
(b) 0
(c) 1
(d) 3
4. Seja C = AB, onde A =
12
3
 e B = [−2 4 7]. O
determinante da matriz C é igual a:
(a) 0
(b) 2
(c) −2
(d) Não é possível calcular o determinante de C.
5. Seja r a reta que passa pela origem e tem a direção do
vetor (0, 2). A matriz (na base canônica) da projeção
ortogonal sobre r é:
(a)
[
0 0
0 1
]
(b)
[
0 0
0 2
]
(c)
[
0 2
0 0
]
(d)
[
0 1
0 0
]
6. A reta que melhor ajusta os dados da tabela:
x y
1 -7
2 8
3 -13
,
no sentido dos mínimos quadrados é y = 2 − 3x.
Usando este fato, a projeção ortogonal do vetor
(−7, 8,−13) sobre 〈(1, 2, 3), (1, 1, 1)〉 é:
(a) (−1,−4,−7)
(b) (1,−2, 1)
(c) (−2, 4,−2)
(d) (−3, 2)
7. Seja A =
 α β −11 1 0
1 −1 0
 . Escolha a alternativa
VERDADEIRA
(a) o posto de A é 3
(b) o posto de A é 0
(c) o posto de A depende dos valores de α e β
(d) O posto de A é 2
8. Seja T uma transformação linear do es-
paço vetorial das matrizes 2x2, dada por
T
([
a b
c d
])
=
[
a b− c
b− c d
]
.
Escolha a alternativa VERDADEIRA
(a) A matriz
[
0 1
1 0
]
pertence ao núcleo de T
(b) T é sobrejetiva
(c) A matriz
[
0 1
1 0
]
não pertence à imagem de T
(d) T é injetiva
Gabarito Pág. 1
9. Seja A uma matriz n x p. Se o núcleo de A tem
dimensão 3, o núcleo de AT tem dimensão 2 e o espaço
gerado pelas colunas de A tem dimensão 1. Os valores
de n e p são respectivamente,
(a) n = 3 e p = 4
(b) n = 4 e p = 4
(c) n = 4 e p = 1
(d) n = 3 e p = 1
10. Seja S = {(x, y, z) ∈ R3|x−y+2z = 0} e b = (1, 1, 1).
A soma das coordenadas do vetor de S mais próximo
de b é
(a) 73
(b) 53
(c) 83
(d) 14
11. Seja T : R2 → R3 uma transformação linear tal que
T (1, 1) = (0, 2, 0) e T (2, 0) = (4,−2, 0). Pode-se afir-
mar que
(a) T (3, 1) = (4, 0, 0).
(b) T (2, 2) = (4, 0, 0).
(c) T (3, 1) = (0, 2, 0).
(d) T (6, 0) = (4,−2, 0).
12. Seja A a projeção ortogonal sobre a direção do vetor
(0, 1) seguida de uma expansão de 2 na direção de
(1, 0). Os autovalores de A são
(a) 1 e 0
(b) 2 e 0
(c) 2 e 1
(d) 1 e 1
13. Assinale a alternativa verdadeira
(a) v0, v1, v2 são autovetores de A3×3 associados
aos autovalores 0, 1, 2. O sistema Ax = v0
não tem solução
(b) Os autovalores de AB são iguais ao produto dos
autovalores de A e B.
(c) Os autovalores de A + B são iguais à soma dos
autovalores de A e B.
(d) Os autovalores de A−1 são iguais aos autovalores
de A− I.
14. Seja A a matriz 3 × 3 que representa uma reflexão
através do plano x + 2z = 0. Marque a alternativa
correta.
(a) Os autovalores de A são −1 e 1.
(b) Os autovalores de A são −1 e 0.
(c) Os autovalores de A são 0 e 1.
(d) Os autovalores de A são −1, 0 e1
15. Seja A 6= I uma matriz 3x3 com a propriedade que
A2 = I. Escolha a alternativa FALSA
(a) A não é inversível
(b) A é inversível e A = A−1
(c) Os autovalores de A são 1 e -1
(d) A solução de Ax = b é Ab
Gabarito Pág. 2
Gabarito dos 225 Testes Gerados
Teste 001: 1D 2B 3D 4C 5A 6A 7A 8C 9D 10D 11C 12A 13A 14C 15B
Teste 002: 1C 2B 3B 4A 5B 6C 7C 8D 9A 10A 11D 12D 13C 14D 15A
Teste 003: 1B 2B 3B 4A 5D 6A 7C 8B 9C 10C 11C 12B 13C 14A 15A
Teste 004: 1C 2A 3C 4D 5C 6B 7B 8C 9A 10B 11D 12B 13D 14A 15A
Teste 005: 1A 2D 3C 4C 5A 6A 7A 8D 9A 10B 11C 12C 13D 14B 15D
Teste 006: 1A 2D 3C 4C 5B 6C 7A 8B 9B 10C 11A 12D 13D 14C 15B
Teste 007: 1A 2A 3C 4B 5A 6A 7C 8B 9D 10A 11C 12C 13C 14C 15D
Teste 008: 1A 2D 3B 4B 5B 6C 7B 8B 9D 10C 11C 12A 13C 14D 15D
Teste 009: 1B 2B 3C 4C 5C 6A 7D 8A 9D 10D 11B 12D 13B 14C 15B
Teste 010: 1C 2D 3C 4D 5D 6D 7B 8C 9B 10B 11D 12B 13A 14C 15C
Teste 011: 1C 2D 3D 4B 5B 6B 7B 8B 9D 10A 11D 12D 13A 14A 15A
Teste 012: 1C 2B 3B 4A 5A 6B 7A 8D 9B 10B 11A 12D 13D 14A 15C
Teste 013: 1B 2C 3D 4D 5A 6D 7C 8A 9C 10C 11D 12A 13D 14C 15A
Teste 014: 1B 2D 3B 4A 5D 6B 7D 8B 9A 10C 11B 12A 13C 14A 15C
Teste 015: 1B 2B 3A 4A 5C 6B 7B 8C 9C 10D 11A 12A 13D 14A 15D
Teste 016: 1B 2C 3A 4A 5C 6C 7B 8D 9D 10C 11D 12C 13A 14D 15B
Teste 017: 1C 2B 3C 4D 5B 6C 7B 8C 9C 10A 11B 12D 13D 14B 15A
Teste 018: 1A 2B 3C 4D 5D 6C 7A 8C 9A 10B 11D 12A 13C 14C 15D
Teste 019: 1A 2C 3A 4C 5D 6B 7B 8A 9C 10C 11C 12B 13D 14A 15B
Teste 020: 1A 2D 3C 4C 5A 6B 7D 8B 9B 10B 11B 12C 13A 14C 15C
Teste 021: 1D 2D 3C 4C 5D 6C 7B 8C 9C 10A 11A 12B 13D 14D 15B
Teste 022: 1C 2B 3A 4D 5B 6A 7C 8B 9B 10C 11D 12C 13D 14B 15A
Teste 023: 1A 2C 3B 4C 5A 6A 7A 8D 9D 10A 11B 12C 13C 14D 15D
Teste 024: 1B 2D 3D 4A 5C 6C 7A 8A 9C 10B 11D 12A 13A 14C 15C
Teste 025: 1A 2D 3D 4B 5C 6A 7D 8B 9A 10B 11D 12A 13D 14C 15B
Teste 026: 1B 2B 3B 4B 5B 6A 7A 8D 9C 10C 11C 12A 13A 14D 15C
Teste 027: 1D 2C 3C 4B 5C 6D 7C 8D 9C 10D 11A 12A 13D 14B 15B
Teste 028: 1D 2D 3C 4B 5C 6A 7A 8B 9C 10D 11D 12D 13B 14A 15C
Teste 029: 1B 2D 3C 4C 5D 6B 7B 8D 9D 10D 11A 12B 13A 14C 15A
Teste 030: 1C 2C 3D 4B 5A 6B 7D 8B 9D 10B 11D 12B 13D 14C 15A
Teste 031: 1D 2B 3D 4D 5B 6B 7B 8B 9D 10C 11A 12D 13A 14C 15A
Teste 032: 1D 2B 3A 4A 5D 6D 7B 8A 9C 10C 11A 12C 13D 14D 15C
Teste 033: 1B 2B 3B 4A 5A 6C 7D 8B 9A 10D 11C 12B 13D 14A 15A
Teste 034: 1D 2B 3B 4B 5D 6A 7A 8D 9C 10D 11A 12C 13B 14B 15A
Teste 035: 1D 2D 3A 4B 5C 6C 7A 8D 9A 10B 11B 12C 13B 14C 15B
Teste 036: 1A 2C 3B 4A 5D 6C 7A 8C 9B 10D 11A 12B 13C 14D 15B
Teste 037: 1A 2A 3B 4A 5C 6D 7C 8C 9A 10D 11A 12C 13C 14D 15B
Teste 038: 1C 2B 3C 4D 5D 6B 7B 8A 9C 10C 11A 12B 13B 14C 15A
Teste 039: 1A 2B 3C 4D 5C 6C 7B 8D 9A 10B 11B 12D 13C 14D 15C
Teste 040: 1A 2D 3D 4A 5A 6B 7D 8C 9B 10D 11C 12D 13B 14B 15B
Teste 041: 1C 2C 3D 4C 5D 6D 7C 8D 9B 10A 11B 12A 13B 14A 15D
Teste 042: 1B 2C 3B 4B 5B 6D 7A 8B 9A 10D 11C 12D 13D 14D 15C
Teste 043: 1D 2A 3B 4B 5A 6C 7B 8A 9A 10C 11D 12C 13B 14C 15B
Teste 044: 1D 2A 3A 4C 5C 6D 7A 8A 9C 10D 11A 12B 13B 14B 15D
Teste 045: 1B 2A 3C 4A 5B 6C 7A 8B 9A 10D 11A 12C 13B 14B 15C
Teste 046: 1D 2C 3D 4B 5C 6C 7C 8D 9D 10A 11C 12A 13B 14D 15A
Teste 047: 1A 2A 3D 4C 5A 6D 7D 8A 9D 10A 11B 12D 13C 14C 15B
Teste 048: 1B 2A 3A 4D 5A 6D 7B 8D 9B 10D 11C 12D 13C 14B 15B
Teste 049: 1A 2D 3A 4D 5A 6C 7D 8C 9D 10D 11A 12B 13A 14C 15C
Teste 050: 1B 2C 3D 4C 5C 6B 7B 8C 9B 10D 11D 12D 13D 14A 15A
Teste 051: 1B 2B 3B 4B 5D 6A 7A 8B 9A 10A 11C 12A 13C 14C 15D
Teste 052: 1B 2C 3B 4B 5D 6D 7D 8B 9B 10D 11C 12C 13D 14C 15C
Teste 053: 1A 2B 3C 4D 5B 6C 7D 8A 9D 10A 11B 12A 13A 14C 15C
Teste 054: 1B 2C 3B 4A 5C 6D 7B 8B 9A 10A 11B 12C 13C 14D 15A
Teste 055: 1B 2C 3C 4C 5D 6D 7A 8B 9B 10C 11B 12D 13A 14A 15A
Teste 056: 1C 2A 3C 4A 5A 6C 7A 8A 9B 10D 11B 12D 13C 14C 15B
Gabarito Pág. 1
Teste 057: 1D 2B 3C 4C 5C 6D 7C 8A 9D 10A 11C 12A 13A 14A 15C
Teste 058: 1B 2D 3C 4B 5A 6B 7D 8A 9B 10D 11D 12B 13C 14D 15D
Teste 059: 1B 2C 3B 4B 5D 6A 7D 8A 9A 10C 11C 12C 13D 14A 15B
Teste 060: 1B 2C 3A 4C 5C 6C 7A 8D 9B 10B 11A 12D 13A 14C 15B
Teste 061: 1A 2A 3D 4B 5B 6B 7A 8C 9D 10C 11D 12D 13D 14B 15C
Teste 062: 1B 2A 3B 4A 5C 6A 7B 8D 9C 10C 11B 12B 13A 14D 15D
Teste 063: 1B 2B 3C 4B 5B 6D 7B 8A 9D 10D 11C 12C 13C 14D 15D
Teste 064: 1A 2C 3C 4D 5D 6A 7B 8D 9B 10D 11D 12B 13B 14B 15A
Teste 065: 1D 2C 3C 4A 5D 6B 7B 8B 9B 10A 11D 12B 13D 14A 15A
Teste 066: 1B 2D 3A 4A 5D 6C 7C 8C 9C 10C 11B 12A 13A 14B 15B
Teste 067: 1B 2B 3A 4C 5A 6C 7B 8B 9A 10D 11A 12B 13D 14C 15C
Teste 068: 1C 2D 3D 4B 5A6B 7D 8A 9A 10C 11C 12D 13D 14B 15A
Teste 069: 1A 2C 3A 4B 5C 6D 7D 8D 9D 10A 11B 12B 13B 14A 15B
Teste 070: 1A 2B 3A 4A 5B 6C 7D 8A 9B 10B 11B 12C 13D 14D 15A
Teste 071: 1B 2A 3A 4A 5B 6A 7C 8C 9D 10B 11A 12B 13C 14C 15B
Teste 072: 1C 2B 3B 4B 5A 6A 7A 8D 9B 10C 11C 12B 13C 14A 15C
Teste 073: 1B 2D 3C 4B 5C 6A 7B 8D 9C 10B 11C 12B 13C 14D 15D
Teste 074: 1B 2B 3C 4C 5B 6A 7B 8C 9D 10B 11A 12C 13C 14A 15A
Teste 075: 1D 2D 3D 4B 5C 6C 7B 8B 9C 10B 11C 12B 13C 14A 15D
Teste 076: 1A 2C 3C 4A 5A 6A 7B 8B 9D 10C 11D 12B 13D 14B 15D
Teste 077: 1B 2C 3C 4D 5B 6B 7A 8B 9A 10D 11A 12C 13A 14B 15D
Teste 078: 1C 2D 3D 4D 5B 6A 7D 8D 9C 10B 11A 12B 13C 14B 15C
Teste 079: 1B 2C 3A 4D 5B 6A 7B 8B 9B 10A 11C 12C 13A 14D 15D
Teste 080: 1D 2B 3A 4A 5B 6A 7B 8C 9A 10D 11B 12C 13C 14B 15A
Teste 081: 1A 2B 3D 4C 5A 6B 7A 8D 9A 10B 11B 12C 13D 14A 15D
Teste 082: 1B 2C 3D 4A 5D 6C 7C 8A 9B 10A 11A 12D 13C 14A 15B
Teste 083: 1B 2C 3C 4B 5D 6D 7A 8C 9A 10B 11D 12C 13A 14A 15A
Teste 084: 1D 2D 3A 4B 5C 6D 7C 8C 9D 10C 11B 12A 13D 14A 15B
Teste 085: 1C 2B 3A 4D 5A 6A 7A 8C 9C 10A 11B 12B 13B 14C 15B
Teste 086: 1A 2D 3B 4B 5C 6B 7C 8C 9B 10B 11A 12A 13D 14A 15C
Teste 087: 1D 2B 3B 4B 5B 6C 7D 8B 9D 10D 11D 12C 13A 14D 15C
Teste 088: 1B 2D 3B 4C 5B 6C 7B 8C 9C 10C 11B 12D 13C 14A 15B
Teste 089: 1D 2D 3D 4A 5C 6B 7B 8D 9B 10A 11C 12A 13D 14A 15B
Teste 090: 1B 2D 3C 4C 5D 6C 7D 8A 9B 10D 11B 12B 13A 14D 15C
Teste 091: 1D 2A 3C 4B 5A 6C 7A 8C 9C 10A 11D 12B 13C 14B 15B
Teste 092: 1B 2A 3C 4D 5B 6C 7D 8A 9D 10B 11C 12B 13B 14C 15A
Teste 093: 1A 2C 3B 4B 5D 6C 7A 8A 9B 10C 11A 12C 13A 14C 15B
Teste 094: 1D 2B 3C 4A 5D 6D 7A 8A 9D 10A 11C 12B 13D 14C 15C
Teste 095: 1B 2A 3A 4B 5C 6A 7A 8B 9C 10C 11A 12B 13B 14C 15C
Teste 096: 1C 2A 3D 4B 5D 6B 7D 8B 9C 10D 11A 12C 13D 14B 15B
Teste 097: 1D 2B 3B 4A 5B 6B 7A 8A 9C 10B 11A 12A 13C 14C 15D
Teste 098: 1B 2D 3A 4B 5D 6A 7D 8D 9D 10B 11C 12B 13B 14C 15A
Teste 099: 1A 2C 3D 4B 5B 6C 7C 8A 9C 10B 11B 12D 13B 14A 15A
Teste 100: 1D 2D 3B 4A 5A 6C 7B 8A 9D 10D 11C 12D 13A 14A 15B
Teste 101: 1D 2A 3A 4D 5A 6D 7C 8A 9C 10C 11D 12B 13B 14D 15B
Teste 102: 1C 2C 3C 4B 5D 6A 7B 8C 9D 10D 11D 12A 13D 14B 15C
Teste 103: 1C 2B 3A 4A 5C 6C 7D 8C 9C 10D 11B 12D 13A 14A 15B
Teste 104: 1C 2B 3C 4C 5A 6D 7D 8D 9A 10D 11B 12C 13B 14A 15B
Teste 105: 1B 2C 3C 4D 5B 6A 7B 8A 9C 10B 11D 12D 13C 14A 15D
Teste 106: 1D 2D 3A 4C 5B 6D 7A 8A 9C 10B 11D 12B 13A 14B 15B
Teste 107: 1C 2A 3D 4C 5B 6D 7B 8D 9C 10B 11D 12D 13B 14B 15A
Teste 108: 1B 2B 3D 4D 5A 6A 7D 8A 9A 10C 11B 12D 13B 14A 15C
Teste 109: 1C 2C 3D 4C 5A 6D 7A 8C 9A 10B 11D 12C 13A 14D 15A
Teste 110: 1A 2B 3C 4A 5B 6B 7C 8C 9C 10D 11C 12A 13A 14B 15B
Teste 111: 1D 2A 3D 4B 5B 6D 7D 8D 9C 10C 11A 12A 13A 14C 15B
Teste 112: 1D 2A 3B 4C 5B 6C 7A 8B 9D 10B 11A 12D 13D 14A 15D
Teste 113: 1C 2A 3C 4C 5D 6B 7C 8D 9B 10A 11C 12D 13B 14A 15A
Teste 114: 1D 2D 3B 4B 5C 6C 7A 8C 9A 10B 11D 12B 13B 14C 15D
Teste 115: 1C 2B 3D 4D 5B 6D 7C 8D 9C 10C 11D 12C 13A 14B 15A
Gabarito Pág. 2
Teste 116: 1C 2D 3D 4C 5D 6B 7C 8C 9A 10C 11D 12A 13B 14B 15D
Teste 117: 1D 2C 3B 4A 5A 6B 7D 8A 9A 10D 11A 12C 13D 14C 15C
Teste 118: 1C 2A 3A 4A 5C 6A 7B 8D 9B 10D 11B 12A 13D 14C 15D
Teste 119: 1D 2D 3A 4C 5C 6B 7C 8C 9A 10C 11A 12D 13B 14A 15A
Teste 120: 1A 2A 3C 4B 5C 6B 7A 8A 9A 10C 11D 12B 13D 14B 15C
Teste 121: 1A 2D 3B 4A 5C 6C 7B 8C 9D 10B 11A 12B 13C 14A 15D
Teste 122: 1D 2D 3C 4A 5B 6C 7B 8D 9A 10C 11D 12D 13A 14C 15C
Teste 123: 1A 2B 3D 4A 5B 6D 7A 8D 9D 10C 11D 12B 13B 14C 15C
Teste 124: 1D 2C 3A 4B 5C 6B 7D 8C 9A 10B 11A 12C 13D 14B 15D
Teste 125: 1A 2A 3D 4A 5D 6A 7B 8D 9B 10B 11D 12D 13A 14C 15C
Teste 126: 1D 2A 3D 4C 5D 6B 7A 8D 9D 10A 11A 12B 13A 14B 15C
Teste 127: 1A 2B 3B 4C 5D 6C 7D 8D 9D 10A 11C 12B 13A 14B 15B
Teste 128: 1D 2A 3A 4D 5C 6C 7C 8B 9D 10C 11C 12A 13B 14B 15B
Teste 129: 1C 2D 3A 4D 5A 6A 7B 8B 9B 10C 11D 12A 13D 14C 15A
Teste 130: 1D 2D 3B 4B 5B 6C 7C 8B 9D 10A 11D 12C 13B 14D 15C
Teste 131: 1D 2D 3B 4B 5A 6B 7C 8A 9A 10B 11D 12D 13C 14A 15D
Teste 132: 1B 2A 3C 4C 5D 6C 7A 8C 9A 10C 11A 12D 13D 14D 15A
Teste 133: 1B 2D 3A 4B 5C 6B 7B 8C 9D 10A 11A 12C 13B 14D 15A
Teste 134: 1A 2C 3C 4C 5A 6B 7B 8B 9D 10A 11B 12B 13D 14A 15C
Teste 135: 1D 2A 3B 4A 5D 6A 7C 8A 9C 10C 11B 12A 13D 14D 15D
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Teste 139: 1C 2A 3D 4D 5A 6B 7B 8D 9C 10D 11D 12B 13B 14B 15C
Teste 140: 1C 2A 3C 4A 5C 6C 7D 8C 9A 10A 11A 12D 13C 14D 15D
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Teste 142: 1B 2C 3B 4C 5A 6C 7D 8A 9C 10A 11D 12A 13A 14C 15A
Teste 143: 1C 2B 3D 4D 5C 6A 7D 8C 9C 10C 11A 12B 13D 14D 15A
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Teste 157: 1C 2C 3D 4C 5D 6B 7D 8A 9C 10C 11B 12B 13A 14D 15B
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Teste 170: 1C 2D 3B 4C 5C 6A 7B 8A 9B 10D 11A 12D 13D 14D 15B
Teste 171: 1B 2B 3D 4C 5A 6A 7B 8A 9B 10C 11D 12D 13C 14C 15A
Teste 172: 1B 2C 3B 4B 5B 6C 7C 8A 9D 10A 11B 12A 13C 14C 15A
Teste 173: 1C 2B 3C 4C 5B 6D 7B 8D 9C 10C 11B 12D 13D 14A 15B
Teste 174: 1A 2A 3A 4C 5D 6A 7B 8D 9C 10A 11C 12B 13B 14D 15B
Gabarito Pág. 3
Teste 175: 1A 2C 3A 4B 5B 6A 7A 8C 9C 10B 11A 12C 13B 14D 15C
Teste 176: 1D 2A 3B 4A 5C 6C 7D 8D 9D 10A 11B 12C 13C 14C 15D
Teste 177: 1B 2D 3A 4A 5D 6B 7B 8A 9B 10C 11B 12D 13C 14A 15C
Teste 178: 1D 2B 3C 4C 5D 6A 7C 8A 9A 10C 11A 12C 13B 14D 15B
Teste 179: 1C 2A 3C 4B 5C 6A 7C 8D 9B 10B 11B 12B 13A 14C 15A
Teste 180: 1C 2D 3C 4A 5D 6A 7C 8B 9B 10A 11A 12B 13A 14B 15C
Teste 181: 1B 2C 3C 4A 5B 6D 7D 8D 9B 10D 11D 12C 13A 14B 15C
Teste 182: 1D 2D 3B 4B 5D 6C 7C 8D 9C 10B 11A 12A 13C 14B 15A
Teste 183: 1B 2A 3C 4D 5B 6A 7D 8B 9B 10D 11C 12D 13A 14D 15C
Teste 184: 1A 2B 3A 4C 5C 6C 7A 8C 9A 10C 11B 12A 13D 14B 15B
Teste 185: 1B 2C 3D 4B 5A 6D 7B 8B 9A 10C 11C 12A 13D 14A 15B
Teste 186: 1C 2B 3B 4D 5B 6A 7B 8B 9C 10C 11D 12D 13A 14A 15A
Teste 187: 1C 2B 3D 4C 5A 6B 7B 8B 9D 10C 11A 12C 13B 14A 15A
Teste 188: 1D 2A 3C 4D 5A 6C 7D 8B 9D 10D 11A 12B 13A 14A 15C
Teste 189: 1A 2A 3C 4C 5A 6B 7C 8A 9B 10B 11C 12A 13D 14B 15D
Teste 190: 1B 2B 3B 4D 5A 6A 7A 8A 9C 10D 11C 12C 13D 14A 15C
Teste 191: 1B 2D 3C 4B 5C 6A 7C 8B 9C 10B 11B 12C 13A 14B 15A
Teste 192: 1D 2D 3C 4D 5C 6A 7C 8D 9A 10B 11B 12A 13A 14C 15C
Teste 193: 1C 2C 3C 4A 5A 6D 7B 8C 9A 10C 11A 12A 13B 14B 15B
Teste 194: 1B 2A 3A 4A 5C 6C 7C 8D 9B 10A 11C 12C 13B 14D 15A
Teste 195: 1D 2A 3D 4B5D 6D 7D 8B 9C 10C 11B 12B 13C 14C 15C
Teste 196: 1D 2D 3C 4B 5D 6A 7D 8B 9D 10A 11B 12C 13C 14C 15A
Teste 197: 1B 2A 3A 4B 5B 6B 7B 8D 9A 10D 11C 12A 13D 14A 15D
Teste 198: 1D 2B 3D 4C 5D 6D 7B 8A 9A 10B 11B 12C 13D 14A 15A
Teste 199: 1B 2C 3A 4B 5B 6C 7A 8D 9B 10D 11D 12C 13A 14A 15A
Teste 200: 1D 2A 3B 4B 5A 6D 7A 8B 9A 10A 11D 12D 13B 14B 15D
Teste 201: 1C 2A 3B 4D 5C 6D 7D 8B 9A 10A 11A 12C 13A 14D 15C
Teste 202: 1B 2A 3C 4B 5A 6A 7B 8B 9C 10A 11B 12A 13C 14C 15D
Teste 203: 1C 2A 3C 4A 5A 6C 7C 8B 9D 10C 11B 12A 13A 14D 15B
Teste 204: 1B 2D 3D 4B 5D 6C 7D 8D 9C 10A 11D 12C 13C 14C 15B
Teste 205: 1D 2A 3B 4B 5C 6D 7A 8D 9D 10A 11B 12A 13B 14B 15A
Teste 206: 1C 2B 3B 4A 5C 6D 7A 8A 9D 10D 11D 12C 13A 14D 15B
Teste 207: 1C 2B 3A 4D 5D 6D 7C 8B 9C 10B 11A 12D 13C 14A 15D
Teste 208: 1B 2A 3B 4C 5D 6C 7B 8B 9C 10D 11C 12B 13D 14A 15A
Teste 209: 1B 2C 3D 4D 5B 6B 7C 8B 9C 10C 11B 12D 13C 14A 15A
Teste 210: 1D 2C 3B 4B 5A 6C 7C 8B 9A 10D 11A 12C 13C 14A 15D
Teste 211: 1A 2D 3C 4C 5D 6A 7B 8C 9B 10C 11A 12D 13B 14C 15D
Teste 212: 1B 2B 3D 4B 5D 6D 7A 8D 9A 10C 11A 12D 13A 14B 15B
Teste 213: 1B 2B 3A 4B 5D 6A 7C 8C 9D 10B 11D 12B 13C 14C 15C
Teste 214: 1C 2A 3C 4B 5C 6B 7C 8C 9B 10A 11B 12A 13B 14A 15A
Teste 215: 1D 2D 3C 4C 5A 6C 7B 8D 9D 10D 11B 12C 13A 14C 15B
Teste 216: 1B 2C 3B 4C 5A 6D 7B 8C 9A 10D 11A 12B 13D 14D 15B
Teste 217: 1C 2C 3A 4A 5C 6C 7D 8A 9B 10D 11A 12A 13B 14B 15D
Teste 218: 1A 2A 3A 4B 5B 6C 7B 8A 9C 10B 11D 12C 13A 14D 15B
Teste 219: 1A 2C 3C 4C 5C 6A 7B 8C 9D 10B 11D 12A 13B 14A 15D
Teste 220: 1D 2D 3C 4D 5D 6B 7C 8A 9B 10D 11B 12A 13A 14B 15A
Teste 221: 1A 2D 3D 4C 5A 6B 7A 8A 9A 10B 11B 12C 13C 14C 15C
Teste 222: 1D 2B 3C 4A 5A 6C 7A 8B 9D 10D 11B 12A 13B 14D 15B
Teste 223: 1D 2C 3C 4C 5B 6B 7C 8A 9B 10A 11C 12A 13B 14A 15D
Teste 224: 1B 2A 3B 4D 5A 6B 7C 8C 9D 10C 11B 12A 13A 14C 15C
Teste 225: 1A 2C 3D 4A 5D 6A 7B 8C 9D 10B 11D 12B 13B 14C 15C
Gabarito Pág. 4