Exercise 12 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 3 & 4 6 & -2 1 & 0 +2 -3 & 1 2 & -4 -1 & 5

▼

Multiply matrices by scalars

Multiply matrix by 3

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

Multiply matrix by 2

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

Multiply

Multiply

9 & 12 18 & -6 3 & 0 + -6 & 2 4 & -8 -2 & 10

Add matrices

9+(-6) & 12+2 18+4 & -6+(-8) 3+(-2) & 0+10

AddTerms

Add terms

3 & 14 22 & -14 1 & 10