Q. 23

# Solve each of the following systems of equations using matrix method.x + y + z = 6;x + 2z = 7;3x + y + z = 12.

To find: - x , y , z

Given set of lines are : -

x + y + z = 6;

x + 2z = 7;

3x + y + z = 12

Converting following equations in matrix form,

AX = B

R2 – R1

R3 – 3R1

R3 + 2R2

Again converting into equations we get

X + y + z = 6

- y + z = 1

- 4 y = - 4

Y = 1

- 1 + z = 1

Z = 2

X + 1 + 2 = 6

X = 6 - 3

X = 3

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