GATE MA 2021 Paper 1 — page 10

Questions 28–30 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 10 of 22

Let

be the ideal generated by

in the polynomial ring

, where

denotes the ring of integers modulo 3. Then the number of units in the quotient ring

is ______.

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Let

be a linear transformation such that

, and

. Then the rank of

is _____.

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Let

be the solution of the following initial value problem

Then

__________.

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2021 · Paper 1