If A is a square matrix, A' is its transpose, then 1/2 ( A-A' ) is
a symmetric matrix
skew symmetric matrix
a unit matrix
an elementary matrix
If a = b+c, then the value of is.
4bc (b2 + c2)
-4 bc (b2 - c2)
4bc (b2- c2)
2abc
, then A100 is equal to
2100 A
299 A
100 A
Inverse of is.
and A2 is the identity matrix, then x is equal to
-1
0
1
2
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 true?
Either A or B is a zero matrix
Either of A or B is an identity matrix
AB = BA
A = B
The rank of the matrix is.
3
4
a ( x + y + z )
abc + xyz + pqr
a ( x + y + z ) + b ( p + q + r ) + c
The adjoint of the matrix is
Let the determinant of a 3 × 3 matrix A be 6, then B is a matrix defined by B = 5A2, then, determinant of B is
180
100
80
none of these
