SOLVING LINEAR EQUATIONS IN 2 VARAIBLES USING INVERSION METHOD

Formula for inversion method :

X  =  A⁻¹ B

Example 1 :

Solve the following linear equation by inversion method

x + y  =  3, 2x + 3y  =  8

Solution :

First we have to write the given equation in the form

AX  =  B

Here X represents the unknown variables. A represent coefficient of the variables and B represents constants.

To solve this we have to apply the formula

X  =  A⁻¹ B

Since A is a non singular matrix. A⁻¹ exists.

Example 2 :

Solve the following linear equation by inversion method

2x - y  =  7, 3x - 2y  =  11

Solution :

To solve this we have to apply the formula X = A⁻¹ B

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