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If [(1, 0),(y,5)]+2[(x,0),( 1,-2)]=I , w...

If `[(1, 0),(y,5)]+2[(x,0),( 1,-2)]=I` , where `I` is `2xx2` unit matrix. Find `x` and `y` .

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Given: `[(1, 0),(y,5)]+2[(x,0),( 1,-2)]=I`
`implies [(1+2x,0),(y+2,1)]=[(1,0),(0,1)]`
`implies 1+2x=1` and `y+2=0`
`implies x=0, y=-2`
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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
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  3. If [(1, 0),(y,5)]+2[(x,0),( 1,-2)]=I , where I is 2xx2 unit matrix. Fi...

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