A2 = A
B2 = B
AB ≠ BA
AB = BA
If A = , and A2 is an identity then x =
1
2
3
0
The matrix
Unitary
Orthogonal
nil potent
involutory
The adjoint matrix of
Which of the following statements is true?
The inverse of non-singular matrix is not zero.
The determinant of non-singular matrix is zero.
If A' = A; then A is a square matrix
If |A| ≠ 0, then |A. adj A| = |A| n-1
If A is ( aij ) m × n and B = ( bjk ) m × p, then order of AB is
m × n
m × p
p × m
The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is
27
18
81
512
If ω is the cube root of unity and
The matrix is non-singular if.
λ ≠ -5
λ ≠ -17
λ ≠ -16
λ ≠ -18
