GATE DA 2025 Paper 1 — page 13

Questions 37–39 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 13 of 22

Let

be such that

. Which one of the following statements is ALWAYS correct?

Your answerChoose one option.

is invertible

Determinant of

is 0

The sum of the diagonal elements of

is 1

and

have the same rank

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Let

be a set of linearly independent vectors in

. Let the

-th element of matrix

be given by

. Which one of the following statements is correct?

Your answerChoose one option.

is invertible

0 is a singular value of

Determinant of

is 0

for some non-zero

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Consider the cumulative distribution function (CDF) of a random variable

The value of

Your answerChoose one option.

0.625

0.25

0.5

0.5625

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2025 · Paper 1