Question

x + 2y = 4
2x +y =5 solve using matrix method
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Answer 1

Answer:



ANSWER

Given system of linear equations are 

2x+3y+3z=5

x−2y+z=−4

3x−y−2z=3.

Represent it in matrix form

⎣⎢⎢⎡2133−2−131−2⎦⎥⎥⎤⎣⎢⎢⎡xyz⎦⎥⎥⎤=⎣⎢⎢⎡5−43⎦⎥⎥⎤ which is in the form of AX=B

A=⎣⎢⎢⎡2133−2−131−2⎦⎥⎥⎤

∣A∣=10+15+15=40=0

∴ A−1 exists

To find adjoint of A

A

Hence, x=1,y=2 and z=−1