solve the following system of equations using matrices

Question

x-y+4z=6
2x+z=1
x+5y+z=-9

Answer 1

Given equations are x  - y  + 4z  = 6 ---> (1)

2x  + z  = 1 ---> (2)

x + 5y  + z  = 9 ---> (3)

Convert the equations (1), (2) & (3) are in matrix form AX  = B.

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

Now solve the equations in Cramer's method.

Solution

Comments

The solution of the system x-y+4z = 6, 2x+z = 1, and x+5y+z = -9 is x = 0, y = - 2, and z = 1.

Answer 2

Given equations are x  - y  + 4z  = 6 ---> (1)

2x  + z  = 1 ---> (2)

x + 5y  + z  = - 9 ---> (3)

Convert the equations (1), (2) & (3) are in matrix form AX  = B.

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

Now solve the equations in Cramer's method.

Solution

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