Q. 20

# Solve each of the following systems of equations using matrix method.x + y + z = 4;2x – y + z = - 1;2x + y – 3z = - 9.

To find: - x , y , z

Given set of lines are : -

x + y + z = 4;

2x – y + z = - 1;

2x + y – 3z = - 9.

Converting the following equations in matrix form,

AX = B R2 – 2R1

R3 –2R1 3R3 - R2 Again converting into equations, we get

X + y + z = 4

- 3y - z = - 9

- 14z = - 42

Z = 3

- 3y - 3 = - 9

- 3y = - 6

Y = 2

X + 2 + 3 = 4

X = 4 - 5

X = - 1 Rate this question :

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