GATE MA 2022 Paper 1 — page 6

Questions 16–18 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 6 of 22

Let

be an orthonormal basis for a Hilbert space

. Define

and

. Then

Your answerChoose one option.

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Consider

with the usual metric. Let

and

. Let

and

. Then, which of the following statements is TRUE?

Your answerChoose one option.

and

are connected

Neither

nor

is connected

is connected and

is not connected

is not connected and

is connected

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The real sequence generated by the iterate scheme

Your answerChoose one option.

converges to

, for all

converges to

, whenever

converges to

, whenever

diverges for any

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2022 · Paper 1