Q8 of 127 Page 136

Solve system of linear equations, using matrix method.

2x – y = –2


3x + 4y = 3

The given system of equations is:

2x - y = -2


3x + 4y = 3


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



Now |A| = 2(4)-3(-1) = 11 ≠ 0.


∴ A is a non-singular matrix and hence A-1 exists.


Now



So


And


So


Hence


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