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Answer:

YES    c(AB)  =  (cA)B for scalar c.

Scalar Factor

Recall that cA means that every element of A is multiplied by c. Here is a demonstration of the rule:

Often a matrix-matrix multiplication can be simpified by factoring one of the matrices. See the question.

QUESTION 10:

Compute the following:


10   0  20
20  40  10
 0  20  10

-2   2 
 1   1
 2  -2