Question

if A is non singular square matrix of order 3 such that A2=A then value of |A| is =
​

Answer 1

if a²=3A

Step-by-step explanation:

The Order is 3x3

Take det on both side and apply property od determinant

Det(A^2) = Det(3A)

(Det(A))^2 = 3^3 det(A) applied property of determinant

Cancle det(A) on both sides

Det(A) = 27