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If I is a unit matrix, then 3I is ____.

A unit matrix

A triangular matrix

A scalar matrix

None of the above

In a skew symmetric matrix, the diagonal elements are all ____.

Different from each other

Zero

One

None of the above

Given 2x –y +2z =2, x –2y +z =-4, x+ y +(z =4 then the value of ( such that the given system of equation has NO solution, is

3

1

0

-3

The parameter, on which the value of the determinant does not depend upon is

a

p

d

x

Consider the set A of all determinants of order 3 with entries 0 or 1 only. Let B be the subset of A consisting of all determinants with value 1. Let C be the subset of A consisting of all determinants with value –1. Then

C is empty

B has as many elements as C

A = B ( C

B has twice as many elements as elements as C

Normal type of MCQ with one correct option A square matrix A is called idempotent if

A2 = I

A2 = O

2A = I

A2 = A

/

A,B

B

C,D

A,B & D

/

A

B

C

A+B+C

Both A and R are true and R is correct explanation of A

Both A and R are true and R is not correct explanation of A

A is true, R is false

A is false, R is true

A unit matrix

A triangular matrix

A scalar matrix

None of the above

In a skew symmetric matrix, the diagonal elements are all ____.

Different from each other

Zero

One

None of the above

Given 2x –y +2z =2, x –2y +z =-4, x+ y +(z =4 then the value of ( such that the given system of equation has NO solution, is

3

1

0

-3

The parameter, on which the value of the determinant does not depend upon is

a

p

d

x

Consider the set A of all determinants of order 3 with entries 0 or 1 only. Let B be the subset of A consisting of all determinants with value 1. Let C be the subset of A consisting of all determinants with value –1. Then

C is empty

B has as many elements as C

A = B ( C

B has twice as many elements as elements as C

Normal type of MCQ with one correct option A square matrix A is called idempotent if

A2 = I

A2 = O

2A = I

A2 = A

/

A,B

B

C,D

A,B & D

/

A

B

C

A+B+C

Both A and R are true and R is correct explanation of A

Both A and R are true and R is not correct explanation of A

A is true, R is false

A is false, R is true

This test consist of 10 questions.Students should ideally take 10 minutes to complete the test. This test is useful for those students who are preparing for IIT JEE, AIEEE or any other engineering entrance test. This test consist of questions from Matrices and Determinants which, in general, is focused in AIEEE and IIT JEE. Last year 3 questions asked from this chapter in AIEEE. In Matrices and Determinants, Elementary operations are key topics and mostly application based questions are asked.

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