GATE CSE concept:matrices PYQs & Answers

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concept:matrices

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Questions 1–6 of 6. Imported answers require independent review unless marked reviewed.

Topic practice 6 questionsPage 1 of 1

Consider

matrices with their elements from

. The number of such matrices with even number of 1s in every row and every column is

Your answerChoose one option.

512

1025

1023

255

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Let

, and

be non-singular matrices of order 3 satisfying the equations

and

. Which ONE of the following is the value of the determinant of

Your answerChoose one option.

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Let

and

Let

and

denote the determinants of the matrices

and

, respectively.

Which one of the options given below is TRUE?

Your answerChoose one option.

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Consider the following two statements with respect to the matrices

and

Statement 1:

Statement 2:

where

represents the trace of a matrix. Which one of the following holds?

Your answerChoose one option.

Statement 1 is correct and Statement 2 is wrong.

Statement 1 is wrong and Statement 2 is correct.

Both Statement 1 and Statement 2 are correct.

Both Statement 1 and Statement 2 are wrong.

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Let

and

be two

matrices over real numbers. Let

and

denote the rank and determinant of a matrix

, respectively. Consider the following statements.

II.

III.

IV.

Which of the above statements are TRUE?

Your answerChoose one option.

I and II only

I and IV only

II and III only

III and IV only

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Let

and

be two matrices. Then the rank of

is __________.

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GATE CSE concept:matrices PYQs

How to practice concept:matrices

Question 12

Question 14

Question 18

Question 20

Question 27

Question 22