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Q.

Let A+2B=1206-33-531 and   2A-B=2-152-16012 . If TrA denotes the sum of all  diagonal elements of the matrix A , then Tr(A)-Tr(B) has value equal to

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a

0

b

1

c

3

d

2

answer is D.

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Detailed Solution

Tr5A=TrA+2B+2A-B+2A-B=-1+3+3=55TrA=5TrA=1Tr5B=TrA+2B+A+2B-2A+B=-1-1-3=−5TrB=−1TrA−TrB=2
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