Allied & ICAR Exam Bank • ALLIED_0015 MCQ • 1 Mark

Section 1: Engineering Mathematics

Linear Algebra

Subtopic: Linear and orthogonal transformations

Question Statement:

A matrix $A$ is idempotent if:

Options:

  • (A) $A^2 = A$
  • (B) $A^2 = I$
  • (C) $A^T = A$
  • (D) $A^k = 0$

Answer Key:

A

Step-by-Step Solution & Explanation

By algebraic definition, an idempotent matrix satisfies $A^2 = A$.
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