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Question

If A=⎡⎢⎣1010201−14⎤⎥⎦,A=B+C,B=BT,C=−CT, then C is equal to

A
00.500.500000
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B
000000.500.50
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C
00.500.500.500.50
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D
00.50.50.500.50500
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Solution

The correct option is B 000000.500.50
Given, A=101020114 Since A=B+C and B=BT,C=CT
A can be represented as
A=12(A+AT)+12(AAT)12(A+AT)=B and 12(AAT)=C2C=101020114101021104=000001010C=000000.500.50

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