Q. 255.0( 1 Vote )

# Solve each of the following systems of equations using matrix method.4x - 5y – 11z = 12;X – 3y + z = 1;2x + 3y – 7z = 2.

To find: - x , y , z

Given set of lines are : -

4x - 5y - 11z = 12

X – 3y + z = 1;

2x + 3y – 7z = 2

Converting the following equations in matrix form,

AX = B

4R2 – R1

2R3 – R1

5R3 + R2

Again converting into equations we get

4x – 5y - 11z = 12

- 7y + 15z = - 8

48 y = - 48

Y = - 1

7 + 15z = - 8

15z = - 15

Z = - 1

4x + 5 + 11 = 12

4x = 12 - 5 - 11

4x = - 4

X = - 1

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