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Question

If A=[3x01]andB=[9160y],find x and y when A2=B

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Solution

Now
A2=AA=>[3x01]*[3x01]

=> [93x+x01]


=> [94x01]we have A2=B

two matrices are equal if each and every corresponding element is equal

=>[94x01] =[9160y]

=>4x = 16 and 1=-y

=> x = 4 and y = -1


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