GATE MA 2017 Paper 1 — page 1

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2017 Paper 1

Complete GATE MA 2017 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 1–3 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 1 of 22

Consider the vector space

of polynomials of degree at most 2. Let

be a linear functional such that

and

. Then

equals ______.

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Let

be a

matrix such that

, where

is the identity matrix. If

has two distinct eigenvalues and each eigenvalue has geometric multiplicity 3, then the total number of nonzero entries in the Jordan canonical form of

equals ______.

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Let

and

for

. Then, in the complex plane

Your answerChoose one option.

is analytic and

is NOT analytic

is NOT analytic and

is analytic

neither

nor

is analytic

both

and

are analytic

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2017 · Paper 1

Question 1

Question 2

Question 3