Q. 22

# Solve each of the following systems of equations using matrix method.x + y + z = 1;x – 2y + 3z = 2;5x – 3y + z = 3.

To find: - x , y , z

Given set of lines are : -

x + y + z = 1;

x – 2y + 3z = 2;

5x – 3y + z = 3.

Converting the following equations in matrix form,

AX = B

R2 – R1

R3 – 5R1

R3 + 2R2

Again converting into equations we get

X + y + z = 1

- 3y + 2z = 1

- 14 y = 0

Y = 0

- 3 × 0 + 2z = 1

Z =

X + 0 + = 1

X =

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