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Using elementary transformations, find the inverse of the matrix`[[3, 1], [5, 2]]`

Text Solution

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`A = [[3,1],[5,2]]`
We know, `A = IA`
`=> [[3,1],[5,2]] = [[1,0],[0,1]]A`
Applying `R_2->R_2-R_1`
`=> [[3,1],[2,1]] = [[1,0],[-1,1]]A`
Applying `R_1->R_1-R_2`
`=> [[1,0],[2,1]] = [[2,-1],[-1,1]]A`
Applying `R_2->R_2-2R_1`
...
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