Exercise 14 Page 777

We can see that the given matrices have the same dimensions, 3* 2. Multiplication by a scalar does not affect the dimension of a matrix, so it is possible to perform the addition and subtraction of the given matrices after multiplying them by scalars. We will start with the scalar multiplication.

2 3 & 4 6 & -2 1 & 0 -5 -3 & 1 2 & -4 -1 & 5

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Multiply matrices by scalars

Multiply matrix by 2

2(3) & 2(4) 2(6) & 2(-2) 2(1) & 2(0) -5 -3 & 1 2 & -4 -1 & 5

Multiply matrix by 5

2(3) & 2(4) 2(6) & 2(-2) 2(1) & 2(0) - 5(-3) & 5(1) 5(2) & 5(-4) 5(-1) & 5(5)

Multiply

Multiply

6 & 8 12 & -4 2 & 0 - -15 & 5 10 & -20 -5 & 25

Subtract matrices

6-(-15) & 8-5 12-10 & -4-(-20) 2-(-5) & 0-25

SubTerms

Subtract terms

21 & 3 2 & 16 7 & -25