- If the matrix
A= [^ ] is such that = I, then which one of
the following is correct?
(a) α= 0, β= 1 or α= 1, β= 0 (b) α=0, β≠1 or α≠1,
β=1 (c) α=1, β≠0 or α≠1, β=1 (d) α≠0, β≠0
- If A is a 2×3 matrix and AB is a 2×5 matrix,
then B must be a:
(a) 3×5 matrix (b) 5×3 matrix (c) 3×2 matrix
(d) 5×2 matrix - If A= 0 1 and B= 0 1 such that =B,
then what is the value of α?
(a) -1 (b) 1 (c) 2 (d) 4
- If A= 0 1 =( )^ , then the value of
α and β are given by:
(a) α= √^ , β= √^ (b) α= √^ , β= √^ (c) α=β≠ (^) √^
(d) α=-β= (^) √^
- If [
] is not an invertible matrix,
then what is the value of?
(a) -1 (b) 0 (c) 1 (d) 2
- The adjoint of 0 1 is equal to:
(a) 0 1 (b) 0 1
(c) 0 1 (d) 0 1
- If A= 0 1 , B= 0 1 , C= 0 1 ,
then which one of the following is not correct?
(a) (b) (c) AB=C (d) AB=BA
- If a matrix A= 0 1 , then si equal to:
(a) 0 1 (b) 0 1 (c) 0 1 (d) 0 1
- Consider the following statements in
respect of a square matrix A and its transpose
:
I. A+ is always symmetric
II. A- is alays anti-symmetric
Which of the statements given above is/are
correct?
(a) I only (b) II only (c) Both I and II (d)
Neither I nor II- If A is a non-singular matrix of order n×n,
then which one of the following is equal to
| ( )|?
(a) | |^ (b) | |^ (c) | |^ (d) | |^ - Let A= 0 1. Let there exist a matrix
B such that AB= 0 1. What is B equal to?
(a) 0 1 (b) 0 1
(c) [
] (d) [
]- The matrix M= [
] and its inverse
N= [ ]. What is the element of the matrix
N?
(a) 2 (b) -2 (c) 1 (d) - 1- Let A= 0 1 [ ], where i, j = 1, 2. If its
inverse matrix is [ ], what is?
(a) -2 (b) 1 (c)^ (d) - - Let A= , - , M= [
] and N= [
]
What is the value of A (M+N)?(a) [7- 1012 - 4] (b) [
] (c) [5] (d) 5- If X and Y are the matrices of order 2×2
each and 2X-3Y = 0 1 and 3X+2Y=
0 1 , then what is Y equal to?
(a) 0 1 (b) 0 1 (c) 0 1 (d)
0 1