Exercise 11 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.

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

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Multiply matrice by a scalar

Multiply matrix by 2

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

Multiply

Multiply

3 & 4 6 & -2 1 & 0 - -6 & 2 4 & -8 -2 & 10

Subtract matrices

3-(-6) & 4-2 6-4 & -2-(-8) 1-(-2) & 0-10

SubTerms

Subtract terms

9 & 2 2 & 6 3 & -10