Generate a matrix D = [A;B].
-
Now generate a new matrix E = [D C].
-
Find the determinant of matrix E.
-
Find the inverse of matrix E.
-
Find the transpose of matrix E.
-
Define a new matrix F = [16;3;17;12;-2].
-
Define another matrix H = [5 7 4 -2 -1;-9 3 12 -6 14].
-
Give reasons: which of the following matrix multiplications are possible - (1) EE, (2) FF, (3) HH, (4) EF, (5) FE, (6) HE, (7) EH, (8) FH and (9) HF.
-
In the cases for which multiplication is possible, perform it using MATLAB.