Determine the following from the given matrices: a. For each matrix, give the dimensions of the matrix and identify the matrix as square and/or diagonal. b. Determine if the following matrix...

Determine the following from the given matrices:

a. For each matrix, give the dimensions of the matrix and identify the matrix as square and/or diagonal.

b. Determine if the following matrix multiplications are allowed, and if so, give the dimensions of the resulting matrix.
• DA
• AD
• BC
• AF
• ETB
• DFA

c. Compute the following transpositions:
• AT
• ET
• BT
d. Solve for the inverse of matrix A.

Extracted text: [13 4 -8] 12 c = [15 8] A = -3 -1 B = (-7 31 10 -2 ra b h E = |c d j Lf k] D = [0 1 3] i F y 655