Math Chapter 3 Class 11 Matrices and Determinants

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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.




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

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

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

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

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The matrix [?] is :

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

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

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

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

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

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Which of the property does not hold matrix multiplication?

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

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

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Which of the following Sets is not a field.

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Which of the following Sets is a field.

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54. Transpose of a row matrix is:

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53. The inverse of unit matrix is:

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

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

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

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

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The vertical lines of numbers in a matrix are called:

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Inverse of a matrix exists if it is:

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

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

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

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

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

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

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

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

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The vertical lines of numbers in a matrix are called:

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

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

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For any matrix A , it is always true that

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14. The matrix [?] is :

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

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The horizontal lines of numbers in a matrix are called:

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

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

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Any matrix A is called singular if:

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

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The horizontal lines of numbers in a matrix are called:

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

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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.

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