1.

If `A=|{:(3,5),(2,4):}|`, find `A^(-1)`.

Answer» `|A|=|{:(3,5),(2,4):}|`
=12-10
`=2ne0`
`rArr" "A is invertible.`
`"Now"" "C_(11)=(-1)^(1+1).4=4`
`C_(12)=(-1)^(1+2).42=-2`
`C_(21)=(-1)^(2+1).5=-5`
`C_(22)=(-1)^(2+3).3=3`
` therefore"adj.A="[{:(C_(11),C_(12)),(C_(21),C_(22)):}]=[{:(4,-2),(-5,3):}]=[{:(4,-5),(-2,3):}]`
`therefore"adj.A^=1/(|A|)."adj.A=1/2[{:(4,-5),(-2,3):}]`


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