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Question

If the traces of A,B are 20 and 8, then the trace of A+B is:

A
12
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B
12
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C
28
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D
28
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Solution

The correct option is A 12
the trace of an n×n square matrix A is defined to be the sum of the elements on the main diagonal (the diagonal from the upper left to the lower right) of A

the traces of A,B are 20 and −8, then the trace of A+B is trac(A+B)=trace(A)+trac(B)=20+8=12

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