# Solving system of linear equations using matrix method

1. Write the augmented matrix for the system of linear equations.

a) 3x-2y+5z=31

x+3y-3z=-12

-2x-5y-3z=11

b) x-2y+3z=9

y+3z=5

z=5

3. write the system of linear equations represented by the following matrix. Use x,y, and z as variables:

4. Perform row operation and write the new matrix.

5. Solve the system of equations using matrices:

A) 3y-z = -1

x+5y -z = -4

-3x+6y+2z = 11

B) x-3z = -2

2x+2y+z = 4

3x+y - 2z = 5

6. Find the determinant

7. If you need to solve large systems with more than three variables, which method is more efficient and why? the Gaussian elimination or Cramer's rule

#### Solution Summary

The solution shows how to solve the system of linear equations using matrix method.