If A and B are any two matrices that AB = 0 and A is non- singular, then_________________.
B = 0
B is singular
B is non singular
B =A
, then trace of matrix A is
17
25
3
12
and A2 is the identity matrix, then x is equal to
-1
0
1
2
If A is an invertible matrix of order n, then the determinant of adj (A) is equal to
|A|n
|A|n+1
|A|n-1
|A|n+2
and I is the unit matrix of order 2, then A2 equals
4 A - 3 I
3 A - 4 I
A- I
A + I
14
None of these
for x ≠ 0, y ≠ 0, then D is
divisible by neither x nor y
divisible by x but not y
divisible by y but not x
divisible by both x and y
If ,then x is equal to
6
-6
Let the determinant of a 3 × 3 matrix A be 6, then B is a matrix defined by B = 5 A2, then, determinant of B is
180
100
80
none of these
If A and B are square matrices of size n × n such that A2 - B2 = (A-B) (A+B), then which of the following will be always ttrue?
Either A or B is a zero matrix
Either of A or B is an identity matrix
AB = BA
A = B
