Question

9. Solve the following system of linear
equations using matrix method.
x+y+z=6
y+3z=11
x+z=2y​

Answer 1

Step-by-step explanation:

The system of equations can be written in the form AX = B, where Now = 9 + 12 – 3 = 18 ≠ 0 Non-singular matrix.

A11 = (0 + 9) = 9,

A12 = -(0 – 6) = 6,

A13 = (-3 – 0) = -3

A21 = – (0 + 3) = -3,

A22 = (0 – 2) = -2

A23 = -(-3 – 4) = 7

A31 = (6 – 0) = 6,

A32 = -(-3 – 1) = -2,

A33 = (0 – 2) = -2

Thus x = 2, y = 1 and z = 3.