Math Chapter 3 Class 11 Matrices and Determinants

by

in

Mathematics Chapter 3: Matrices and Determinants – Class 11 Overview

Chapter 3, Matrices and Determinants, is a crucial topic in Class 11 Mathematics and forms the foundation for higher-level algebra and linear equations. This chapter is important for students preparing for competitive entry tests like NUST, ECAT, UET, NTS, as well as FSC board exams. Key concepts include types of matrices, matrix operations, determinants, properties of determinants, and applications in solving linear equations. Mastery of this chapter is essential for understanding advanced algebra and related topics.




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.

1/57

14. The matrix [?] is :

2/57

Which of the following Sets is a field.

3/57

54. Transpose of a row matrix is:

4/57

The vertical lines of numbers in a matrix are called:

5/57

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

6/57

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

7/57

Any matrix A is called singular if:

8/57

The matrix [?] is :

9/57

10/57

Which of the following Sets is not a field.

11/57

Which of the property does not hold matrix multiplication?

12/57

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

13/57

14/57

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

15/57

16/57

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

17/57

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

18/57

For any matrix A , it is always true that

19/57

Inverse of a matrix exists if it is:

20/57

The horizontal lines of numbers in a matrix are called:

21/57

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

22/57

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

23/57

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

24/57

The horizontal lines of numbers in a matrix are called:

25/57

The vertical lines of numbers in a matrix are called:

26/57

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

27/57

28/57

If order of ? is ? × ? and order of B is ? × ? then order of AB is

29/57

30/57

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

31/57

32/57

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

33/57

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

34/57

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

35/57

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

36/57

37/57

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

38/57

39/57

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

40/57

41/57

53. The inverse of unit matrix is:

42/57

43/57

44/57

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

45/57

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

46/57

47/57

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

48/57

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

49/57

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

50/57

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

51/57

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

52/57

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

53/57

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

54/57

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

55/57

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

56/57

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

57/57

Importance of Matrices and Determinants for Entry Tests and Board Exams

Understanding Matrices and Determinants improves logical reasoning, analytical thinking, and problem-solving skills. Students can solve questions related to matrix addition, multiplication, determinants, inverses of matrices, and solving system of linear equations using Cramer’s rule efficiently. Regular practice of these concepts helps students confidently tackle both entry test and FSC board exam questions.

PLS Academy Chapter-Wise Mathematics Preparation

PLS Academy offers comprehensive chapter-wise study material for Matrices and Determinants with detailed solutions, solved examples, and exam-focused exercises. With structured guidance, students can master all concepts, improve problem-solving techniques, and secure high marks in both entry tests and FSC board exams.

JazakAllah

BIG SALE! FLAT 50% OFF

Protected