Question
Question: If a square matrix A is involutory then A<sup>2n+1</sup> =...
If a square matrix A is involutory then A2n+1 =
A
I
B
A
C
A2
D
(2n+1)A
Answer
A
Explanation
Solution
A2n+1 = (A2)n. A = I. A = A
If a square matrix A is involutory then A2n+1 =
I
A
A2
(2n+1)A
A
A2n+1 = (A2)n. A = I. A = A