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Question

A is a 2 2 matrix such that A11 = 12 and A211 = 10 . The sum of the elements of A is

A
1
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B
0
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C
2
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D
5
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Solution

The correct option is D 2
Let the other two elemnts of matrix A be x and y

A=(1x2y)

A2=AA=(1x2y)(1x2y)=(1+2xx+xy2+2y2x+y2)

As given elemnets of A2(11)=(10)

Comparing the elemnts of A2 we get 1+2x=1x=0and2+2y=0y=1

A=(1021)

So the sum of elemts of matrix A=1+2+01=2

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