If A = , and A2 is an identity then x =
1
2
3
0
If matrix A B = 0.
A = 0 or B = 0
A = 0 and B = 0
It is not necessary that A = 0 or B = 0
Above statements are wrong.
The matrix
Unitary
Orthogonal
nil potent
involutory
, then A2 is equal to
Unit matrix
Null matrix
A
- A
A2 + B2
A2 + B2 + 2AB
A2 + B2 + AB - BA
A2 + B2 + AB + BA
A2 = B2
A + B = B-A
AB = BA
A-B = B-A