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.
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To solve this we have to apply the formula
X = A⁻¹ B
Since A is a non singular matrix. A⁻¹ exists.
x = 9 - 8 x = 1 |
y = -6 + 8 y = 2 |
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
x = 14 - 11 x = 3 |
y = 21 - 22 y = -1 |
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