Question Bank • QB_SUB_EM_0013 MCQ • 1 Mark

Section 1: Engineering Mathematics

Linear Algebra

Subtopic: Cayley–Hamilton theorem

Question Statement:

The Cayley-Hamilton theorem states that every square matrix satisfies:

Options:

  • (A) Its own characteristic equation
  • (B) The Cauchy-Riemann equations
  • (C) Newton's second law
  • (D) Euler's formula for polyhedron vertices

Answer Key:

A

Step-by-Step Solution & Explanation

Cayley-Hamilton theorem: If $p(\lambda) = \det(\lambda I - A) = 0$ is the characteristic polynomial of $A$, then $p(A) = 0$.
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