find inverse of 3*3 matrx whose row elements are (6,2,-2)(2,5,0)(-2,0,7) using gausd jordan method

Question

Find the inverse and check it as A*A(inverse)=identity matrix

Answer 1

Given row elements (6,2,-2),(2,5,0)(-2,0,7)

Comments

The above solution is wrong.

See the correct solution below.

Answer 2

The row elements are (6,2,-2)(2,5,0)(-2,0,7)

Gauss-Jordan method

To find inverse of matrix using elementary row operations.

To find inverse of this matrix,one takes the following matrix augmented by the identity,and row reduces it as a 3 by 6 matrix.

[A |I ]

So A becomes I and I becomes A^-1

[A |I ] --> [AA ^-1|IA ^-1] --> [I |A ^-1]

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Answer 3

Continuous...

Check