The matrix command introduced in the previous section is one way of entering matrices on a Maple worksheet. Maple uses the evalm command along with +, –. *, &*, and ∧ to find sums, differences, scalar products, matrix products, and matrix powers, respectively. For instance, to find A – B + AC + AB – C3 where A, B, and C are matrices already entered on a Maple worksheet, we would type and enter
evalm(A-B+4*C+A&*B-C∧3) ;
at the command prompt. A scalar product cA also may be found with the scalarmul command by typing
scalarmul(A, c);
at the command prompt. Products of two or more matrices can be found by using the multiply command. For instance, typing and entering
multiply(B, A, C);
will give us the product BAC. Use these Maple commands or appropriate commands in another suitable software package (keep in mind that corresponding Math-ematica and MATLAB commands can be found in the Technology Resource Manual) to find the indicated expression (if possible) where
ABC
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