Maharashtra State BoardHSC Arts 12th Board Exam
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Find the Inverse of the Matrix `A = [(1,2,-2),(-1,3,0),(0,-2,1)]`Using Elementary Row Transformations. - Mathematics and Statistics

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Find the inverse of the matrix `A = [(1,2,-2),(-1,3,0),(0,-2,1)]`using elementary row transformations.

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Solution

`A = [(1,2,-2),(-1,3,0),(0,-2,1)]`

= 1[3] - 2[-1] - 2[2]

`= 3 + 2 - 4 = 1 != 0 => A^(-1)` exist 

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Concept: Matrices - Inverse of a Matrix Existance
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