GATE XE 2020 Paper 1 — page 7

Questions 19–21 of 175. Imported answers require review unless explicitly marked reviewed.

Paper practice 175 questionsPage 7 of 59

Let

be a random variable with probability density function

Let

. Then the probability

depends only on

Your answerChoose one option.

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Let

be a

matrix such that

. Then it is necessary that

Your answerChoose one option.

is the identity matrix or the zero matrix.

the determinant of

is either 0 or 1.

the rank of

is 3.

has one imaginary eigenvalue.

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Players

and

take turns to throw a fair dice with six faces. If

is the first player to throw, then the probability of

being the first one to get a six is ____ (round off to two decimal places).

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2020 · Paper 1