Solve system of linear equations, using matrix method.

x − y + 2z = 7

3x + 4y − 5z = −5

2x − y + 3z = 12

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Solution

The given system of equations can be written in the form of AX = B, where

Thus, A is non-singular. Therefore, its inverse exists.

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Similar questions

Solve the following system of linear equations, using matrix method

$x - y + 2 z = 7, 3 x + 4 y - 5 z = - 5, 2 x - y + 3 z = 12$

x - y + 2 z = 7

3 x + 4 y - 5 z = - 5

2 x - y + 3 z = 12

x - y + 2 z = 7, 3 x + 4 y - 5 z = - 5, 2 x - y + 3 z = 12

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

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