Instrumentation Engineering
GATE IN concept:eigenvalue PYQs
Build your understanding with focused practice from past exam papers.
How to practice concept:eigenvalue
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–5 of 5. Imported answers require independent review unless marked reviewed.
Question 11
Open questionINMCQ1 markNeeds review
A matrix
satisfies
where
is a
identity matrix.The set of all possible eigenvalues of matrix
is ___.Your answerChoose one option.
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Open questionINNAT1 markNeeds review
A
matrix
with all real elements has eigenvalues
,
, and
. The value of
is ______ (rounded off to nearest integer).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 49
Open questionINMSQ2 marksNeeds review
The matrix
has eigenvalues
and 7. The eigenvector(s) is/are ______Your answerSelect all correct options. You can choose more than one.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 16
Open questionINNAT1 markNeeds review
A 3 × 3 matrix has eigenvalues 1, 2 and 5. The determinant of the matrix is ______.
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Open questionINMCQ1 markNeeds review
The eigenvalues of the matrix
areYour answerChoose one option.
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