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Apply elementary transformation `R_2->R_2-3R_1` in the matrix equation `[(11,-6),(6,-4)]=[(1,3),(0,2)][(2,0),(3,-2)]`

Text Solution

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We have,`[[11,-6],[ 6,-4]]=[[1, 3 ],[0 ,2]][[2, 0],[ 3,-2]]`
Using elementary row operation `R2​→R2​−3R1`
​ `[[11,-6-3.11],[ 6,-4-3.6]]=[[1, 3-3.1 ],[0 ,2-3.0]][[2, 0],[ 3,-2]]`
⇒`[[11,-39],[ 6,-22]]=[[1, 0 ],[0 ,-6]][[2, 0],[ 3,-2]]`
Since, on using elementary row operation on X=AB, we apply these operations simultaneously on X and on the first matrix(can be used on any one) A of the product AB on RHS.
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