Solve the system of equations using matrices.

Question

3x - 2y + z = -7
x + y - 2z = 12
3x + y - z = 10

Answer 1

Given equations are 3x  - 2y  + z  = -7 ---> (1)

x + y  - 2z  = 12 ---> (2)

3x  + y - z  = 10 ---> (3)

Write the equations into matrices form AX  = B .

A  is coefficient matrix , X  is variable matrix and B  is constant matrix.

Now solve the equations in Cramer's rule.

Solution: