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Find the trace of the matrix \(\begin{bmatrix} 0 & 0 & 9\\ 0& 9 & 0\\ 9& 0 &0 \end{bmatrix}\)

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Find the trace of the matrix \(\begin{bmatrix} 0 & 0 & 9\\ 0& 9 & 0\\ 9& 0 &0 \end{bmatrix}\)
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Correct Answer - Option 4 : 9

Concept:

Trace of the any matrix = sum of the elements of main diagonal

Calculation:

\(\begin{bmatrix} 0 & 0 & 9\\ 0& 9 & 0\\ 9& 0 &0 \end{bmatrix}\)

Main diagonal elements are 0, 9 and 0

Trace = 0 + 9 + 0 = 9

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