GATE ME 2019 Set 1 — Question 11
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Engineering Mathematics → Linear Algebra → Eigenvalues & Eigenvectors
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Question
Consider the matrixThe number of distinct eigenvalues of is
Correct answer
(B) 1
Solution
The matrix is an upper triangular matrix. The eigenvalues of an upper triangular matrix are its diagonal elements. Here, the diagonal elements are 1, 1, and 1. Thus, the only eigenvalue is 1. The number of distinct eigenvalues is 1.
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