This is the first time I have has to multiply 3 matrices together. I am also struggling with multiplying with a variable in the exponent. Can someone go step by step how to work this problem?

HW 5.3 Use factorization A = PDP" to compute Ak, where k represents an arbitrary positive integer. A * = PDP " (3 . 1 * ) + ( 4.0 ) (3 . 0)+ ( 4-2 k ) [(3-1* ) ( 4-2# ) ( 1 . 1 * ) + ( 1 0 0 ) (1 . 0) + (1 .2 # ) 12 * ( 30 - 1 ) + ( ( 4 + 2 k ) + 1 ) ( 3 0 4) + ( ( 4 +2 k ) . - 3 ( 1 . - 1 ) + (2 k . 1 ) (1 . 4) + (2*. - 3 ) - 3+ 4.2* 12 + 12.2* - 1+2 K 4 + (0 k . - 3 )