Question 28 Write a system of linear equations represented b

Question 28: Write a system of linear equations represented by augmented Matrix. Use x, y and z as the variables.

Solution

A linear equation is of the form ax + by+ cz = d.

In the above matrix 1st column represents values of \' x\' coefficients of the linear equations, 2nd column represents the\' y\'coefficients of the linear equations and the 3rd column represents the \'z\' coefficients of the linear equations.The 4th column represents \'d\'.

Therefore the linear equations are as follows:

x+y+z=2

x-y-z=4

2x+3y+z=6

-x+y-z=8