GATE MA 2017 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 a

matrix such that

for

and

, where

. Let

and

be the largest and the smallest eigenvalues of

, respectively. If

, then

equals ________.

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Let

be the simple, positively oriented circle of radius 2 centered at the origin in the complex plane. Then

equals ________.

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Let

and

, respectively, denote the real part and the imaginary part of a complex number

. Let

be the bilinear transformation such that

and

. Then, the image of

under the mapping

Your answerChoose one option.

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2017 · Paper 1