Question

-6x +y +z = 0
4x - y - 7z = 0
X + 2y - 8z = 0
Solve by using matrix method

Answer 1

Answer:

The value of X = 0 Y =0 Z =0

Step by Step Explanation :

-6 1 1 0

4 -1 -7 0

1 2 -8 0

By interchanging R1 and R3 we get

1 2 -8 0

4 -1 -7 0

-6 1 1 0

R2 tends to R2 - 4R1

R3 tends to R3 + 6R1

We get..

1 2 -8 0

0 -9 15 0

0 13 -47 0

R2 tends to R2 / -9

We get

1 2 -8 0

0 1 -15/9 0

0 13 -47 0

R1 tends to R1 - 2R2

R3 tend to R3 - 13R2

1 0 -32/9 0

0 1 -15/9 0

0 0 -228/9 0

R3 tend to R3 / -228/9

1 0 -32/9 0

0 1 -15/9 0

0 0 1 0

R1 tends to R1 + 32/9 R3

R2 tends to R2 + 15/9 R3

1 0 0 0

0 1 0 0

0 0 1 0