Question

2x-y+3z=9,x+y+z=6,x-y+z=2 by using gauss jordan method​

Answer 1

Answer:

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Step-by-step explanation:

Given

2x−y+3z=9 ………..(1)

x+y+z=6 …………..(2)

x−y+z=2 …………….(3)

using matrix inversion method

AX=B

⎣⎢⎢⎡211−11−1311⎦⎥⎥⎤ ⎣⎢⎢⎡xyz⎦⎥⎥⎤=⎣⎢⎢⎡962⎦⎥⎥⎤

and X=A−1B where A−1=∣A∣adj(A)

Now adjA=⎣⎢⎢⎡20−2−2−1−1−413⎦⎥⎥⎤

∣A∣=