Q154 / 270 · NDA 2018 (Phase 2) · Mathematics

A square matrix $A$ is called orthogonal if

  • A
    $\mathrm{A}=\mathrm{A}^2$
  • Correct answer
    B
    $\mathrm{A}^{\prime}=\mathrm{A}^{-1}$
  • C
    $\mathrm{A}=\mathrm{A}^{-1}$
  • D
    $\mathrm{A}=\mathrm{A}^{\prime}$

Solution

If $\mathrm{A}^{-1}=\mathrm{A}^{\mathrm{T}}$, then A is orthogonal matrix.

Hence, the correct answer is option: 'B'.

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