Q. 16

# Solve each of the following systems of equations using matrix method.x – y + z = 1;2x + y – z = 2;X – 2y – z = 4.

To find: - x , y , z

Given set of lines are : -

x – y + z = 1;

2x + y – z = 2;

X – 2y – z = 4

Converting following equations in matrix form,

AX = B R2 – 2R1

R3 – R1 3R3 + R2 Again converting into equations we get

X – y + z = 1

3y - 3z = 0

- 9z = 9

Z = - 1

Y = z

Y = - 1

X + 1 - 1 = 1

X = 1 Rate this question :

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