Allied & ICAR Exam Bank • ALLIED_2603 MCQ • 1 Mark

Section 1: Engineering Mathematics

Linear Algebra

Subtopic: Matrices and determinants

Question Statement:

If $A$ and $B$ are non-singular $n \times n$ matrices, which of the following expressions is always equal to $(A B)^{-1}$?

Options:

  • (A) $B^{-1} A^{-1}$
  • (B) $A^{-1} B^{-1}$
  • (C) $(B A)^{-1}$
  • (D) $A^{-1} + B^{-1}$

Answer Key:

A

Step-by-Step Solution & Explanation

By the reversal rule of matrix inverses, $(A B)^{-1} = B^{-1} A^{-1}$.
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