If A is a square matrix such that `|A| = 2`, then for any positive integer `n, |A^(n)|` is equal to

If A is a square matrix such that |A| = 2 , then for any + ve integar n , |A^(n)| is equal to :

If A is a square matrix that |A|= 2, than for any positive integer n , |A^(n)|=

If A is a nilpotent matrix of index 2, then for any positive integer n,A(I+A)^(n) is equal to A^(-1) b.A c.A^(n) d.I_(n)

If A is a nilpotent matrix of index 2, then for any positive integer n ,A(I+A)^n is equal to (a) A^(-1) (b) A (c) A^n (d) I_n

If A is a nilpotent matrix of index 2, then for any positive integer n ,A(I+A)^n is equal to A^(-1) b. A c. A^n d. I_n

If A is a nilpotent matrix of index 2, then for any positive integer n ,A(I+A)^n is equal to (a) A^(-1) (b) A (c) A^n (d) I_n

If A is a square matrix and |A| = 2 then |A|^n = ………. . Where n is positive integer.

Let A = [{:(1,1,1),(1,1,1),(1,1,1):}] be a square matrix of order 3. Then for any positive integer n, what is A^(n) equal to ?

If A is any square matrix, prove that (A^n)' = (A')^n , where n is any positive integer.