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this system of equations has ____.

Infinite solution

No solution

Unique solution

None of the above

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

Different from each other

Zero

One

None of the above

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

A unit matrix

A triangular matrix

A scalar matrix

None of the above

The system of equations and has ____.

No solution

Exactly one solution

Infinite solutions

None of the above

The value of if is ____.

0

1

– 1

None of the above

If and then the value of is ____.

1/3

½

1

2

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

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

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

Infinite solution

No solution

Unique solution

None of the above

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

Different from each other

Zero

One

None of the above

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

A unit matrix

A triangular matrix

A scalar matrix

None of the above

The system of equations and has ____.

No solution

Exactly one solution

Infinite solutions

None of the above

The value of if is ____.

0

1

– 1

None of the above

If and then the value of is ____.

1/3

½

1

2

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

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

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

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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