1. The minimum number of zeros in a upper triangular matrix will be-
(A) 2
n(n −1) (B) 2
n(n +1) (C) 2
2n(n −1) (D) None of these
2. If A =
1 0
5 2
and B =
5 −1
2 3
, then | 2A– 3B | equals -
(A) 77 (B) – 53 (C) 53 (D) – 77
3. If A and B are matrices of order m × n and n × n respectively, then which of the following are defined -
(A) AB, BA (B) AB, A2 (C) A2
, B2 (D) AB, B2
4. The root of the equation [x 1 2]
−
1
1
x
1 1 0
1 0 1
0 1 1
= 0 is-
(A) 1/3 (B) –1/3 (C) 0 (D) 1
5. If A =
0 0 2
0 2 0
2 0 0
, then A5 equals-
(A) 5A (B) 10A (C) 16A (D) 32 A
6. If A =
0 1
1 k
then An equal to-
(A)
0 1
1 kn
(B)
0 1
1 nk
(C)
0 1
k 1 n
(D) None of these
7. If A =
3 − 5
1 2
, B =
0 2
1 0
and X is a matrix such that A = BX, then X equals -
(A)
−
3 5
2 4
2
1 (B)
3 − 5
2 4
2
1 (C)
3 − 5
2 4
(D) None of these
8. If A, B are 3 × 2 order matrices and C is a 2 × 3 order matrix, then which of the following matrices not
defined -
(A) AT
+ B (B) B + CT (C) AT + C (D) AT + BT
9. If A is symmetric as well as skew symmetric matrix, then-
(A) A is a diagonal matrix (B) A is a null matrix
(C) A is a unit matrix (D) A is a triangular matrix
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Answer:
b
a
c
d
a
c
b
d
d
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