Mechanical Engineering
GATE ME topic:linear-algebra PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 23. Imported answers require independent review unless marked reviewed.
Question 27
Open questionMEMCQ2 marksNeeds review
Let the superscript
represent the transpose operation. Consider the function
, where
and
are
vectors and
is a symmetric
matrix. The stationary point of
isYour answerChoose one option.
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Open questionMEMCQ1 markNeeds review
Multiplication of real valued square matrices of same dimension is
Your answerChoose one option.
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Open questionMEMCQ1 markNeeds review
A matrix
is decomposed into its symmetric part
and skew symmetric part
.If
then matrix
isYour answerChoose one option.
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Open questionMENAT1 markNeeds review
Let
be a 100 dimensional identity matrix and
be the set of its distinct (no value appears more than once in
) real eigenvalues. The number of elements in
is ________.Log in to check the answer
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Open questionMEMCQ1 markNeeds review
Consider the matrix
. The number of distinct eigenvalues of
isYour answerChoose one option.
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Open questionMEMCQ1 markNeeds review
In matrix equation
,
One of the eigenvalues of matrix
isYour answerChoose one option.
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Open questionMEMCQ2 marksNeeds review
The set of equations
has infinite solutions, if
Your answerChoose one option.
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The rank of the matrix
isYour answerChoose one option.
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Open questionMENAT1 markNeeds review
If
then
is ________ (correct to two decimal places).Log in to check the answer
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Open questionME-1MCQ1 markNeeds review
The product of eigenvalues of the matrix
isYour answerChoose one option.
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