GATE MA topic:mathematics PYQs & Answers — Page 4

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topic:mathematics

Questions 31–40 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 4 of 65

Let

. The value of

is equal to ________. (answer in integer)

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Let

where

and

be a linear transformation defined as

. Then the operator norm of

is equal to ________. (answer in integer)

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Consider the following Linear Programming Problem (LP):

The maximum value of

in the above LP is equal to ________. (answer in integer)

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The number of distinct topologies on the set

consisting of exactly four elements is equal to ________. (answer in integer)

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For

, the power series

converges at

and diverges at

. Then the radius of convergence of this power series is equal to ________. (answer in integer)

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The solution

of the initial value problem

is equal to

Your answerChoose one option.

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Let

. Define an inner product on

with respect to

. Consider the subspace

. Which one of the following sets is an orthonormal basis of

with respect to

Your answerChoose one option.

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The value of the contour integral

, where

, oriented in the counter-clockwise direction, is equal to

Your answerChoose one option.

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Let

. On which one of the following domains, does

represent an analytic function?

Your answerChoose one option.

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Let

be the unit impulse function defined by

when

and

. Consider the following initial value problem

with

and

. Which one of the following is TRUE?

Your answerChoose one option.

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GATE MA topic:mathematics PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40