Let A be an n × n matrix. Is it possible for A2+I = O in the case where n is odd? Answer the same question in the case where n is even.

Q: Verify 2(A+B)= 2A + 2B for the following matrices. 4 B= A= 4 -1 3 -1

A: Find the all values separately one by one and compare

Q: Diagonalize the following matrix, and then find A¹0. A = 1 6 0 -

A:

Q: Find a 2 x 2 matrix such that -5 6 +988-0 1 -3 = [1 1

A: