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Show that A=[(5,3),(-1,-2)] satisfies th...

Show that A=`[(5,3),(-1,-2)]` satisfies the equation `x^2-3x-7=0`. Thus, find `A^(-1)`. a)`[((2)/(7),(3)/(7)),((-1)/(7),(-5)/(7))]` b)`[(2,3),(-1,-5)]` c)`[((1)/(7),(1)/(7)),((-1)/(7),(-5)/(7))]` d)`[(3,-1),(1,2)]`

A

`[((2)/(7),(3)/(7)),((-1)/(7),(-5)/(7))]`

B

`[(2,3),(-1,-5)]`

C

`[((1)/(7),(1)/(7)),((-1)/(7),(-5)/(7))]`

D

`[(3,-1),(1,2)]`

Text Solution

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The correct Answer is:
a
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