Mathematics - Vectors and Matrices

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0	0	-3
9	3	5
3	1	1

A
0
B
1
C
2
D
-1

Answer
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Option : C
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17. Rank of matrix

1	4	8	7
0	0	3	0
4	3	2	1
3	12	24	2

Answer
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Option : D
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18. Let A = ( ai_j) be an n-rowed square matrix and I₁₂ be the matrix obtained by interchanging the first and second rows of the n-rowed identity matrix. Then AJ₁₂ is such that its first

A
row is the same as its second row
B
row is the same as the second row of A
C
column is the same as the second column of A
D
row is all zero

Answer
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Option : C
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19. Eigen vector(s) of the matrix

0	0	α
0	0	0
0	0	0

is(are)

A
(0,0 ,α)
B
(α,0,0)
C
(0,0,1)
D
(0,α,0)

Answer
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Option : D
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20. Determinant of the matrix

1	0	0	0
100	1	0	0
100	200	1	0
100	200	300	1

A
100
B
200
C
1
D
0

Answer
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Option : C
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