GATE MA topic:statistics PYQs & Answers — Page 16

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topic:statistics

Questions 151–160 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 16 of 65

Let

and

be a

real column vector. Consider the statements.

I. The Jacobi iteration method for the system

converges for any initial approximation and

II. The Gauss–Seidel iteration method for the system

converges for any initial approximation and

Which one of the following is correct?

Your answerChoose one option.

Both I and II are TRUE

I is TRUE and II is FALSE

I is FALSE and II is TRUE

Both I and II are FALSE

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For the initial value problem

generate approximations

, for a fixed

and

, using the recursion formula

Which one of the following choices of

for the above recursion formula gives the Runge–Kutta method of order 2?

Your answerChoose one option.

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Let

be the solution of

Define

, for

. Which one of the following is correct?

Your answerChoose one option.

is decreasing on

and

is decreasing on

and

is increasing on

and

does not exist

is increasing on

and

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and

are two different solutions of the ordinary differential equation

then which one of the following is its general solution on

Your answerChoose one option.

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Consider the following Linear Programming Problem

The optimal value of the problem

is equal to

Your answerChoose one option.

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Let

and

be a differentiable function such that

and

, for every

and

. The value of

is equal to ______ (answer in integer)

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The number of non-isomorphic finite groups with exactly 3 conjugacy classes is equal to ______ (answer in integer)

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Let

, where

. Let

be the inverse of

in a neighborhood of

. Then the determinant of the Jacobian matrix of

is equal to ______ (round off to TWO decimal places)

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Let

be the field with exactly 3 elements. The number of elements in

is equal to ______ (answer in integer)

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Given a real subspace

, let

denote its orthogonal complement with respect to the standard inner product on

. Let

and

be real subspaces of

. The dimension of

over

is equal to ______ (answer in integer)

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GATE MA topic:statistics PYQs

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