Methods to solve Linear Equation

MATRIX INVERSION METHOD

Step-1 Convert the linear equation in the form

AX = B

where, A = a square non-singular matrix. A inverse exists.

Step-2

Problem-1

Problem-2

find the products of AB and BA. Then solve the system of equations

1. x -y +z = 4
2. x -2y – 2z = 9
3. 2x +y + 3z = 1

Solution

Solution set: (x = 3, y = −2, z = −1).