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Question: Answered & Verified by Expert
A square matrix A is called orthogonal if
MathematicsMatricesNDANDA 2018 (Phase 2)
Options:
  • A $\mathrm{A}=\mathrm{A}^{2}$
  • B $\mathrm{A}^{\prime}=\mathrm{A}^{-1}$
  • C $\mathrm{A}=\mathrm{A}^{-1}$
  • D $\mathrm{A}=\mathrm{A}^{\prime}$
    Where $A^{\prime}$ is the transpose of $A$.
Solution:
2552 Upvotes Verified Answer
The correct answer is: $\mathrm{A}^{\prime}=\mathrm{A}^{-1}$
If $\mathrm{A}^{-1}=\mathrm{A}^{\mathrm{T}}$, then $\mathrm{A}$ is orthogonal matrix.

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