Question

Que 12. Solve the following equations by by Matrix Inversion method x+y+z=6, X-Y+22=1 2x+y-z=1* 1 Add File​

Answer 1

Answer:

Let A=⎡⎣⎢1121−1111−1⎤⎦⎥,X=⎡⎣⎢xyz⎤⎦⎥&B=⎡⎣⎢621⎤⎦⎥

hen the the given is AX=B

|A|=6. Hence A is non singular.

CofactorA=⎡⎣⎢0223−3031−2⎤⎦⎥

A=⎡⎣⎢0332−3120−2⎤⎦⎥

A−1=1|A|=adj=16⎡⎣⎢0332−3120−2⎤⎦⎥=⎡⎣⎢01/21/21/3−1/21/61/30−1/3⎤⎦⎥

X=A−1B=⎡⎣⎢01/21/21/3−1/21/61/30−1/3⎤⎦⎥.i.e.⎡⎣⎢xyz⎤⎦⎥=⎡⎣⎢123⎤⎦⎥⇒x=1,y=2,z=3

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Step-by-step explanation:

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