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Use elementary column operation `C_2 -> C_2 -2C_1` in the matrix equation `[[4 ,2],[ 3, 3]]=[[1, 2 ],[0, 3]][[2 ,0],[ 1 ,1]]`

Text Solution

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Given,`[[4 ,2],[ 3, 3]]=[[1, 2 ],[0, 3]][[2 ,0],[ 1 ,1]]`
On using ` C_2 -> C_2 -2C_1` we get
`[[4 ,2-2.4],[ 3, 3-2.3]]=[[1, 2 ],[0, 3]][[2 ,0-2.2],[ 1 ,1-2.1]]`
=`[[4 ,-6],[ 3, -3]]=[[1, 2 ],[0, 3]][[2 ,-4],[ 1 ,-1]]`
Since, on using elementary column operation on X=AB, we apply these operations simultaneously on X and on the second matrix B of the product AB on RHS.
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