Allied & ICAR Exam Bank • ALLIED_0012 NAT • 2 Marks

Section 1: Engineering Mathematics

Linear Algebra

Subtopic: Eigen values and Eigen vectors

Question Statement:

The sum of the eigenvalues of the matrix $M = \begin{pmatrix} 2 & -1 & 0 \\ -1 & 2 & -1 \\ 0 & -1 & 2 \end{pmatrix}$ is:

Answer Key:

6

Step-by-Step Solution & Explanation

Sum of eigenvalues $= \text{Trace}(M) = 2 + 2 + 2 = 6$.
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