# Matrice Operations and Solving System of Equations

Question 2

This question concerns the matrices

A = (4 -1) B = (3 -6) C = (3 4)

(-7 3) (6 -12) (-5 2)

(1 -2)

a) Evaluate each of the following, where possible. Where evaluations are not possible, explain why not.

I) 3A - 2B

II) 2B-5C

III) AC

IV) CA

V) A-1

VI)B-1

b) Use matrices to solve the following system of linear equations:

4x - y = 2,

-7x + 3y = -1

https://brainmass.com/math/matrices/matrice-operations-solving-system-equations-540802

#### Solution Preview

a) Evaluate each of the following, where possible. Where evaluations are not possible, explain why not.

I) 3A - 2B

II) 2B-5C

III) AC

IV) CA

V) A-1

VI)B-1

3A -2B = (12 -3) - (6 -12) - (6 ...

#### Solution Summary

The solution gives detailed steps on performing some matrix operations including addition, substraction, multiplication and inverse. Further, we show the steps to solve system of equations using matrix method.