Exercise 13 Page 777

We can see that the given matrices have the same dimensions, 2* 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.

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

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Multiply matrices by scalars

Multiply matrix by 4

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

Multiply matrix by 3

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

Multiply

Multiply

4 & 8 -12 & 4 + 15 & 3 0 & 6

Add matrices

4+15 & 8+3 -12+0 & 4+6

AddTerms

Add terms

19 & 11 -12 & 10