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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The horizontal lines of numbers in a matrix are called:

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

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

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

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

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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 following Sets is a field.

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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 main diagonal elements of a skew hermitian matrix must be:

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Which of the property does not hold matrix multiplication?

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

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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 A has only one column then it is called:

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

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

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54. Transpose of a row matrix is:

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The vertical lines of numbers in a matrix are called:

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

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

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53. The inverse of unit matrix is:

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14. The matrix [?] is :

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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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The vertical lines of numbers in a matrix are called:

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The matrix [?] is :

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

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

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

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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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For any matrix A , it is always true that

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

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

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

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

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In echelon form of matrix, the first non zero entry 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 only one row then it is called:

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Which of the following Sets is not a field.

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

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Any matrix A is called singular if:

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

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

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

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

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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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