Biotechnology
GATE BT topic:linear-algebra PYQs
Build your understanding with focused practice from past exam papers.
How to practice topic:linear-algebra
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 1–10 of 19. Imported answers require independent review unless marked reviewed.
Question 12
Open questionBTMCQ1 markNeeds review
Which of the following is one of the eigenvalues for the matrix given below?
Your answerChoose one option.
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Open questionBTMSQ2 marksNeeds review
For the given matrix, which of the statements given below is/are true?
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 52
Open questionBTNAT2 marksNeeds review
If the straight lines given by the following two equations are parallel to each other, the value of a is _____. (answer in integer)
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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 34
Open questionBTNAT1 markNeeds review
The value of
, for which the linear equations
and
have at least one solution, is ____________.(Answer in integer)
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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 63
Open questionBTNAT2 marksNeeds review
Let
. If the eigenvalues of
are −2, 1, and 2, then the value of
is _____________.(Answer in integer)
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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 28
Open questionBTMCQ1 markNeeds review
A value of
for which the linear equations
and
have a non-zero solution is ________.Your answerChoose one option.
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Open questionBTMCQ1 markNeeds review
Let
be the vector that is perpendicular to the vectors
and
. If the length of the vector
is
, then
is ________.Your answerChoose one option.
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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 62
Open questionBTNAT2 marksNeeds review
If
is an eigenvector of the matrix
corresponding to the non-zero eigenvalue,
, then the value of
is ______.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 58
Open questionBTNAT2 marksNeeds review
If
, the value of
is __________.Log in to check the answer
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Open questionBTMCQ1 markNeeds review
If the eigenvalues of a
matrix
are 4 and 2, then the eigenvalues of the matrix
areYour answerChoose one option.
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