Solve each of the following systems of equations using matrix method.

2x + 3y + 3z = 5;

x – 2y + z = - 4;

3x – y – 2z = 3.

To find: - x , y , z

Given set of lines are : -

2x + 3y + 3z = 5;

x – 2y + z = - 4;

3x – y – 2z = 3

Converting the following equations in matrix form,

AX = B

2R₂ – R₁

2R₃ – 3R₁

R₃ - 13R₂

Again converting into equations we get

2X + 3y + 3z = 5

- 7y - z = - 13

80 y = 160

Y = 2

- 7×2 - z = - 13

Z = - 1

2x + 3×2 + 3× - 1 = 5

2x = 5 - 6 + 3

X = 1

∴