Solve the system of linear equations by matrix method2x – 3y + 5z = 11 , 3x +2y –4z = –5 , x + y –2z = – 3

Question

Solve the system of linear equations by matrix method

$2x - 3y + 5z = 11$
$3x + 2y - 4z = -5$
$x + y - 2z = -3$

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Solution

Sure, let's solve the system of linear equations using the matrix method.

The given system of equations is:

2x – 3y + 5z = 11 3x +2y –4z = -5 x + y –2z = -3

First, we write the system of equations in matrix form. The coefficient matrix A is:

A = [[2, -3, 5], [3, 2, -4], [1, 1, -2]]

And the constant matrix B is:

B = [[11], [-5], [-3]]

We want to solve for X in the equation AX = B.

To do this, we first find the inverse of matrix A. Let's denote it as A_inv.

Then, we multiply

This problem has been solved

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