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

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Solution Summary

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