GATE MA 2026 Paper 1 — page 7

Questions 19–21 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 7 of 22

Let

be the space of all continuously differentiable real valued functions on

. Define the following norms on

and

. Which one of the following is TRUE?

Your answerChoose one option.

is a Banach space.

is not a Banach space.

is a Banach space.

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Let

be a set with at least two elements. Let

and

be metrics on

. Which one of the following is NOT a metric on

Your answerChoose one option.

for all

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Let

be a

real symmetric positive definite matrix. Which of the following statements is/are TRUE?

Your answerSelect all correct options. You can choose more than one.

is positive definite for all nonzero

is positive semidefinite for all

is positive definite if

is nonsingular.

is not positive semidefinite for some

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2026 · Paper 1