Allied & ICAR Exam Bank • ALLIED_0018 NAT • 2 Marks

Section 1: Engineering Mathematics

Linear Algebra

Subtopic: Eigen values and Eigen vectors

Question Statement:

If matrix $A = \begin{pmatrix} 0 & 1 \\ -2 & -3 \end{pmatrix}$, the product of its eigenvalues is:

Answer Key:

2

Step-by-Step Solution & Explanation

Product of eigenvalues $= \det(A) = 0(-3) - 1(-2) = 2$.
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