Question Bank • QB_SUB_EM_0002 MCQ • 1 Mark

Section 1: Engineering Mathematics

Linear Algebra

Subtopic: Matrices and determinants

Question Statement:

If $A$ is an invertible matrix of order $n$, which of the following expressions represents $(A^T)^{-1}$?

Options:

  • (A) $(A^{-1})^T$
  • (B) $A^T A$
  • (C) $\det(A) A$
  • (D) $A^{-1}$

Answer Key:

A

Step-by-Step Solution & Explanation

Transpose and inverse operations commute: $(A^T)^{-1} = (A^{-1})^T$.
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