 # Determine the matrix C = A + 3B if A = [ 12 − 8 15 − 8 7 10 15 10 − 5 ] B = [ 2 − 1 1 − 1 4 6 1 6 3 ]

#### Solutions

Chapter
Section
Chapter B, Problem 1P
Textbook Problem

## Determine the matrix C = A + 3B if A = [ 12 − 8 15 − 8 7 10 15 10 − 5 ]   B = [ 2 − 1 1 − 1 4 6 1 6 3 ]

Expert Solution
To determine

Find the matrix C=A+3B.

The matrix C is _.

### Explanation of Solution

Given information:

A=B=

Calculation:

Find the matrix 3B:

Substitute  for B.

3B=3=

Find the matrix C using the relation:

C=A+3B

Substitute  for A and  for 3B.

C=+=

Thus, the matrix C is _.

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