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Matrices and Determinants question

2021 · 18 Mar · Shift 1 · Q37
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  5. /2021 · 18 Mar · Shift 1 · Q37

Matrices and Determinants question

2021 · 18 Mar · Shift 1 · Q37

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Let A+2B=[1206−33−531]A + 2B = \left[ {\begin{matrix} 1 & 2 & 0 \\ 6 & { - 3} & 3 \\ { - 5} & 3 & 1 \\ \end{matrix} } \right]A+2B=​16−5​2−33​031​​ and 2A−B=[2−152−16012]2A - B = \left[ {\begin{matrix} 2 & { - 1} & 5 \\ 2 & { - 1} & 6 \\ 0 & 1 & 2 \\ \end{matrix} } \right]2A−B=​220​−1−11​562​​. 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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