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Find the values of a and b, if A=B,where...

Find the values of a and b, if A=B,where
`A=[{:(a+4,3b),(8,-6):}] "and" B=[{:(2a +2,b^(2)+2),(8,b^(2)-5b):}]`

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We h ave `A=[{:( a+4,3b) ,( 8,-6):}]_(2xx2)"and" B=[{:(2a+2,b^(2)+2),( 8,b^(2)-5b):}]_(2xx2)`
Also, A=B
By equality of matrices we know that each element of A is equal to the corresponding element of B, that is `a_(ij)=b_(ij)` for all i and j.
`a_(11)=b_(11)rArra+4=2a+2rArra=2`
`a_(12)=b_(12)rArr3bj=b^(2)+2rArrb^(2)=3b-2`
and `a_(22)=b_(22)rArr-6=b^(2)-5b [because b^(2)=3b-2]`
`rArr -6=3b-2-5b`
`rArr 2b=4rArrb=2`
`therefore a=2` and b=2
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  14. Give an example of two non-zero 2xx2 matrices A and B such that A B...

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