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If A=[{:(3,1),(7,5):}], find x and y suc...

If `A=[{:(3,1),(7,5):}]`, find x and y such that `A^(2)+xI=yA.`

A

x=6,y=6

B

x=8,y=8

C

x=5,y=8

D

x=6,y=8

Text Solution

Verified by Experts

The correct Answer is:
B
`[(3,1),(7,5)][(3,1),(7,5)]+x[(1,0),(0,1)]=y[(3,1),(7,5)]`
`rArr [(16,8),(56,32)]+[(x,0),(0,x)]=[(3y,y),(7y,5y)]rArr[(16+x,8),(56,32+x)]=[(3y,y),(7y,5y)]`
`therefore y=8 and (16+x=3y=3xx8=24) rArr x=8`
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