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 a matrix of order ? × ? then the matrix of order ? × ? is :
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A rectangular array of numbers enclosed by a square brackets is called:
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For the square matrix ? = [???]?×? then ???, ???, ???…??? are:
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Which of the property does not hold matrix multiplication?
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The main diagonal elements of a skew symmetric matrix must be:
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5. The element ??? of any matrix A is present in:
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Let A be a matrix and ? is an integer then ? + ? + ? + ⋯ to ? terms
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If order of ? is ? × ? and order of B is ? × ? then order of AB is
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If a matrix A has only one column then it is called:
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8. If a matrix A has only one column then it 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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Inverse of a matrix exists if it is:
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In echelon form of matrix, the first non zero entry is called:
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For any two matrices A and B ,(? + ?)^? =
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If a matrix A has different number of rows and columns then A is called:
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The vertical lines of numbers in a matrix are called:
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Which of the following Sets is not a field.
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7. If a matrix A has only one row then it is called:
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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 A has only one row then it is called:
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Any matrix A is called singular if:
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The horizontal 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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9. If a matrix A has same number of rows and columns then A is called:
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11. For the square matrix ? = [???]?×? then ???, ???, ???…??? are:
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The element ??? of any matrix A is present in:
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12. For a square matrix ? = [???]if all ??? = ?, ? ≠ ? and all ??? = ?(??? − ????) for ? = ? 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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For any matrix A , it is always true that
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The vertical lines of numbers in a matrix are called:
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53. The inverse of unit matrix is:
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A rectangular array of numbers enclosed by a square brackets is called:
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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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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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54. Transpose of a row matrix is:
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The main diagonal elements of a skew hermitian matrix must be:
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. The additive inverse of a matrix exist only if it is:
any matrix of order ? × n
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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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6. A matrix A is called real if all ??? are
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In a homogeneous system of linear equations , the solution (0,0,0) is:
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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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