Question

If A is a non-singler square matrix of order 3 such that A³ = 3A, than
A) -3
B) 3
C) 9
D) 27

Answer 1

Answer:

27

Step-by-step explanation:

A^2=3A

det(A^2)=det(3A)

(det A)^2=3^3 det A Since A is 3 x 3

det A = 27