Mathematics MCQs Chapter 3

Mathematics MCQs Chapter 3 Class 11: Master Key Concepts

Mathematics MCQs Chapter 3 Class 11 are an essential resource for students preparing for FSC board exams, NUST, UET, ECAT, FAST, and NTS entry tests. These MCQs cover all important formulas, theorems, and problem-solving techniques from Chapter 3, allowing students to practice efficiently and strengthen their understanding.

PLS Boost Bundle

Get Access to 20 thousands+ MCQs Including Topical MCQs, Practice Tests, Mock Tests, Solved Past Papers, Flashcards, Notes, FLPS, and Much More.

UNLOCK PREMIUM🔐

1141

Created on January 21, 2022

Math Ch 3 Matrices and Determinants

NET Practice Test

This is the Free Access to Limited MCQs. Enroll to PLS Boost Premium Bundle to Get More MCQs HERE

1 / 54

2 / 54

Which of the property does not hold matrix multiplication?

Closure

Commutative

Inverse

Associative

3 / 54

The element ??? of any matrix A is present in:

(? + ?)?ℎ row and column

? ?ℎ column and ? ?ℎ row

? ?ℎ row and ? ?ℎ column

(? + ?)?ℎ row and column

4 / 54

In echelon form of matrix, the first non zero entry is called:

Leading entry

first entry

Diagonal entry

preceding entry

5 / 54

Which of the following Sets is not a field.

6 / 54

7 / 54

If a matrix A has only one column then it is called:

square matrix

Row vector

Column vector

Rectangle matrix

8 / 54

6. A matrix A is called real if all ??? are

complex numbers

Real numbers

9 / 54

For any two matrices A and B ,(? + ?)^? =

?^? + ?^?

?^?.?^?

?^? + ?^?

?^?.?^?

10 / 54

11 / 54

12. For a square matrix ? = [???]if all ??? = ?, ? ≠ ? and all ??? = ?(??? − ????) for ? = ? then
A is called:

None

Null matrix

Scalar Matrix

Diagonal matrix

12 / 54

The vertical lines of numbers in a matrix are called:

Column matrix

Rows

Row matrix

Columns

13 / 54

9. If a matrix A has same number of rows and columns then A is called:

Row vector

Column vector

Rectangular matrix

square matrix

14 / 54

15 / 54

For any matrix A , it is always true that

? = ?^?

– ? = ?̅

?^−1 = 1/A

|?| = |?^?|

16 / 54

A rectangular array of numbers enclosed by a square brackets is called:

Matrix

Row

Column

Determinant

17 / 54

54. Transpose of a row matrix is:

column matrix

Diagonal matrix

zero matrix

scalar matrix

18 / 54

. If a matrix of order ? × ? then the matrix of order ? × ? is :

Transpose of A

Main diagonal of A

Inverse of A

Adjoint of A

19 / 54

The main diagonal elements of a skew symmetric matrix must be:

any non-zero number

any complex number

20 / 54

If the system of linear equations have no solution at all, then it is called a/an

Trivial System

Consistent system

Non Trivial System

Inconsistent system

21 / 54

22 / 54

Inverse of a matrix exists if it is:

Non-singular

Rectangular

Null

Singular

23 / 54

The main diagonal elements of a skew hermitian matrix must be:

any complex number

any non-zero number

24 / 54

. The additive inverse of a matrix exist only if it is:

null matrix

Singular

any matrix of order ? × n

non singular

25 / 54

53. The inverse of unit matrix is:

rectangular

Skew Symmetri

Unit

Singular

26 / 54

The vertical lines of numbers in a matrix are called:

Columns

Row matrix

Rows

Column matrix

27 / 54

8. If a matrix A has only one column then it is called:

square matrix

Column vector

Rectangle matrix

Row vector

28 / 54

In a homogeneous system of linear equations , the solution (0,0,0) is:

Trivial solution

exact solution

anti symmetric

non trivial solution

29 / 54

30 / 54

31 / 54

If a matrix A has different number of rows and columns then A is called:

Row vector

Column vector

Rectangular matrix

square matrix

32 / 54

33 / 54

The number of non zero rows in echelon form of a matrix is called:

Rank of matrix

leading row

leading

Order of matrix

34 / 54

The horizontal lines of numbers in a matrix are called:

Row matrix

Rows

Column matrix

Columns

35 / 54

The horizontal lines of numbers in a matrix are called:

Rows

Columns

Row matrix

Column matrix

36 / 54

37 / 54

38 / 54

If a matrix A has only one row then it is called:

Row vector

square matrix

Column vector

Rectangle matrix

39 / 54

A rectangular array of numbers enclosed by a square brackets is called:

Matrix

Column

Row

Determinant

40 / 54

13. For a square matrix ? = [???]if all ??? = ?, ? ≠ ? and at least ??? ≠ ?, ? = ? then A is called:

Diagonal matrix

Null matrix

Scalar Matrix

None

41 / 54

42 / 54

Let A be a matrix and ? is an integer then ? + ? + ? + ⋯ to ? terms

? + ?

?^?

? − ?

43 / 54

14. The matrix [?] is :

all of these

Square matrix

column matrix

row matrix

44 / 54

4. If a matrix A has ? rows and ? columns , then order of A is :

? × ?

? + ?

? × ?

45 / 54

Which of the following Sets is a field.

all of these

46 / 54

If a matrix A has same number of rows and columns then A is called:

Rectangular matrix

square matrix

Column vector

Row vector

47 / 54

48 / 54

7. If a matrix A has only one row then it is called:

square matrix

Row vector

Rectangle matrix

Column vector

49 / 54

. The multiplicative inverse of a matrix exist only if it is:

non singular

null matrix

Singular

any matrix of order ? ×n

50 / 54

11. For the square matrix ? = [???]?×? then ???, ???, ???…??? are:

secondary diagonal

primary diagonal

Main diagonal

proceding diagonal

51 / 54

10. If a matrix A has different number of rows and columns then A is called:

Row vector

Column vector

Rectangular matrix

square matrix

52 / 54

Any matrix A is called singular if:

|?| = 0

|?| ≠ 0

? ^? = ?

??^−1 = ?

53 / 54

54 / 54

Your score is

The average score is 64%

Benefits of Practicing Chapter 3 Mathematics MCQs

Practicing Mathematics Chapter 3 MCQs helps students identify weak areas, improve problem-solving speed, and increase accuracy. Regular practice also builds conceptual clarity, exam confidence, and effective time management, which are crucial for success in both board exams and competitive entry tests.

PLS Academy: Expert Chapter 3 Mathematics MCQs Preparation

PLS Academy offers structured Mathematics Chapter 3 MCQs with detailed solutions, topic-wise explanations, and performance analysis. Their expert guidance helps students strengthen core concepts, refine test-taking strategies, and maximize scores for NUST, UET, ECAT, FAST, NTS, and FSC board exams.

JazakAllah