Let A = 30 36 -24-30 Find two different diagonal matrices D and the corresponding matrix S such that A = SDS-¹. D₁ = 0 D2 = 0 S₁ = 9. 0 S₁₂ = 0 9.

Use an example chosen from 22 matrices to show that for nn matrices A and B,ABBA but AB=BA.

Determine if the statement is true or false. If the statement is false, then correct it and make it true. For the product of two matrices to be defined, the number of rows of the first matrix must equal the number of columns of the second matrix.

Determine if the statement is true or false. If the statement is false, then correct it and make it true. A 75 matrix has 5 rows.