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JEE Math Practice Question

Let $$A + 2B = \left[ {\begin{matrix} 1 & 2 & 0 \\ 6 & { - 3} & 3 \\ { - 5} & 3 & 1 \\ \end{matrix} } \right]$$ and $$2A - B = \left[ {\begin{matrix} 2 & { - 1} & 5 \\ 2 & { - 1} & 6 \\ 0 & 1 & 2 \\ \end{matrix} } \right]$$. If Tr(A) denotes the sum of all diagonal elements of the matrix A, then Tr(A) $$-$$ Tr(B) has value equal to

  1. A.1
  2. B.2
  3. C.0
  4. D.3

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