GATE AE Linear Algebra PYQs & Answers — Page 3

Questions 21–26 of 26. Imported answers require independent review unless marked reviewed.

Topic practice 26 questionsPage 3 of 3

One of the eigenvalues of the following matrix is 1.

The other eigenvalue is ______.

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Let

be two distinct vectors that are not parallel. The vector

Your answerChoose one option.

zero.

orthogonal to

alone.

orthogonal to

alone.

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The determinant of the matrix

is ______ (accurate to one decimal place).

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Given the vectors

;

, the vector

that is perpendicular to both

and

is given by:

Your answerChoose one option.

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Matrix

and vector

are given. If vector

is the solution to the system of equations

, which of the following is true for

Your answerChoose one option.

Solution does not exist

Infinite solutions exist

Unique solution exists

Five possible solutions exist

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Let matrix

. Then for any non-trivial vector

, which of the following is true for the value of

Your answerChoose one option.

K is always less than zero

K is always greater than zero

K is non-negative

K can be anything

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GATE AE Linear Algebra PYQs

Question 32

Question 1

Question 20

Question 1

Question 26

Question 27