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Using elementary transformations, find the inverse of each of the matrices`[[2,-6],[ 1,-2]]`

Text Solution

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Here, `A = [[2,-6],[1,-2]]`
We know, `A = IA`
`=>[[2,-6],[1,-2]] = [[1,0],[0,1]]A`
Applying `C_2->C_2+3C_1`
`=>[[2,0],[1,1]] = [[1,3],[0,1]]A`
Applying `C_1->C_1-C_2`
`=>[[2,0],[0,1]] = [[-2,3],[-1,1]]A`
Applying `C_1->C_1/2`
...
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