Data Science and Artificial Intelligence
GATE DA 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 21. Imported answers require independent review unless marked reviewed.
Question 11
Open questionDAMCQ1 markNeeds review
For a classification problem, Principal Component Analysis (PCA) has been used to reduce the dimensionality of a feature space from 100 to 10.
Which of the following options is true about the angle
between the first and the tenth principal components?Your answerChoose one option.
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Open questionDAMCQ1 markNeeds review
Let
be a
matrix, where
, and
. Which of the following options is equal to
?Your answerChoose one option.
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Open questionDAMCQ1 markNeeds review
Consider a set
. Let
be another set which is a subspace of
with dimension two. Which of the following gives the area of
?Your answerChoose one option.
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Open questionDAMCQ2 marksNeeds review
Let
be the eigenvalues of the matrix
,where
is in radians.Which one of the following options lists all the possible values of
satisfying
?Your answerChoose one option.
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Open questionDAMSQ2 marksNeeds review
Let
be a matrix, where
and
is the identity matrix of order
. Which of the following options is/are correct?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 65
Open questionDANAT2 marksNeeds review
Let
be a matrix, where
and
is the identity matrix of order
.The value of
, where
, is ________ . (Answer in 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 12
Open questiondaMCQ1 markNeeds review
The number of additions and multiplications involved in performing Gaussian elimination on any
upper triangular matrix is of the orderYour answerChoose one option.
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Open questiondaMCQ1 markNeeds review
The sum of the elements in each row of
is 1. If
, which one of the following statements is correct (for
)?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 25
Open questiondaMSQ1 markNeeds review
Which of the following statements is/are correct?
Your answerSelect all correct options. You can choose more than one.
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Open questiondaMSQ1 markNeeds review
Let
, where
is the
identity matrix and
,
. Which of the following options is/are correct?Your answerSelect all correct options. You can choose more than one.
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