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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For any two matrices A and B ,(? + ?)^? =
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Which of the property does not hold matrix multiplication?
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If a matrix A has only one column 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 vertical lines of numbers in a matrix are called:
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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 a matrix of order ? × ? then the matrix of order ? × ? is :
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6. A matrix A is called real if all ??? are
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. The multiplicative inverse of a matrix exist only if it is:
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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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7. 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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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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For any matrix A , it is always true that
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10. If a matrix A has different number of rows and columns then A 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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If order of ? is ? × ? and order of B is ? × ? then order of AB is
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The vertical lines of numbers in a matrix are called:
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A rectangular array of numbers enclosed by a square brackets is called:
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54. Transpose of a row matrix 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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The main diagonal elements of a skew symmetric matrix must be:
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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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Let A be a matrix and ? is an integer then ? + ? + ? + ⋯ to ? terms
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Inverse of a matrix exists if it is:
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13. For a square matrix ? = [???]if all ??? = ?, ? ≠ ? and at least ??? ≠ ?, ? = ? 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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11. For the square matrix ? = [???]?×? then ???, ???, ???…??? are:
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The main diagonal elements of a skew hermitian matrix must be:
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Which of the following Sets is not a field.
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The element ??? of any matrix A is present in:
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Which of the following Sets is a field.
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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 only one row then it is called:
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53. The inverse of unit matrix is:
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For the square matrix ? = [???]?×? then ???, ???, ???…??? are:
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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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12. For a square matrix ? = [???]if all ??? = ?, ? ≠ ? and all ??? = ?(??? − ????) for ? = ? 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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