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GATE EE 2020 Set 1 — Question 52

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MCQ+2 / -0.67HardMatrix AlgebraLinear AlgebraEngineering Mathematics

Engineering Mathematics → Linear Algebra → Matrix Algebra

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Question

The number of purely real elements in a lower triangular representation of the given 3×33 \times 3 matrix, obtained through the given decomposition is ________.[233321317]=[a1100a12a220a13a23a33][a1100a12a220a13a23a33]T\begin{bmatrix} 2 & 3 & 3 \\ 3 & 2 & 1 \\ 3 & 1 & 7 \end{bmatrix} = \begin{bmatrix} a_{11} & 0 & 0 \\ a_{12} & a_{22} & 0 \\ a_{13} & a_{23} & a_{33} \end{bmatrix} \begin{bmatrix} a_{11} & 0 & 0 \\ a_{12} & a_{22} & 0 \\ a_{13} & a_{23} & a_{33} \end{bmatrix}^T
  1. A.
    5
  2. B.
    6
  3. C.
    8
  4. D.
    9

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