Question

$IfA\times Ai.e.,A^2=IThenAissaidtobeinvolutarymatrix$

• A. True
• B. False

Answer 1

The correct option is A

True

Recall the definition of a involutary matrix carefully. For matrix A to be involutary it should be a square matrix first and A \times A should be equal to I. If these two conditions are satisfied only then A is said to be an involutary matrix.

Here since $A^2$ is defined, So A is a square Matrix, And $A^2$ = I is given. So statement is correct.