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Find a 2xx2 matrix A such that A[(1,-2...

Find a `2xx2` matrix `A` such that `A[(1,-2),( 1, 4)]=6I_2` .

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Given that,
`A[(1,-2),( 1, 4)]=6I_2`
`impliesA=6I_2[(1,-2),( 1, 4)]^-1`
And `[(1,-2),( 1, 4)]^-1=1/6[(4,-1),(2,1)]`
`therefore A=6times1/6I_2[(4,-1),(2,1)]`
`implies A=[(4,-1),(2,1)]`
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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
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  2. Find the matrix A such that : [2, 1, 3][(-1,0,-1),(-1,1 ,0 ),(0 ,1, 1...

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  3. Find a 2xx2 matrix A such that A[(1,-2),( 1, 4)]=6I2 .

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