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Matrices and Determinants
Federal Board > Class 11 > Math (
Total Videos: 1130
)
All Chapters
Chapter 1: Numbers System
Chapter 2: Sets, Functions and Groups
Chapter 3: Matrices and Determinants
Chapter 4: Quadratic Equations
Chapter 5: Partial Fractions
Chapter 6: Sequences and Series
Chapter 7: Permutation, Combination and Probability
Chapter 8: Mathematical Inductions and Binomial Theorems
Chapter 9: Fundamentals of Trigonometry
Chapter 10: Trigonometric Identities Sum and Difference of Angles
Chapter 11: Trigonometric Functions and Their Graphs
Chapter 12: Application of Trigonometry
Chapter 13: Inverse Trigonometric Functions
Chapter 14: Solutions of Trigonometric Equations
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Chapter 3: Matrices and Determinants (
156 videos
)
  (
Practice Test
)
3.1: Introduction(
Practice Test
)
Introduction to Matrix
More on Introducing Matrix
Problem 1: Introduction to Matrix
Order of Matrix
Problem 1: Order of Matrix
Equal Matrices
Problem 1: Equal Matrices
Problem 2: Equal Matrices
Row Matrix and Column Matrix
Problem 1: Row Matrix and Column Matrix
Square Matrix and Rectangular Matrix
Problem 1: Square Matrix and Rectangular Matrix
Null Matrix or Zero Matrix
Problem 1: Null Matrix or Zero Matrix
Practical Application of Matrices
Transpose of a Matrix
Problem 1: Transpose of a Matrix
Negative of Matrix
Problem 1: Negative of Matrix
Symmetric and Skew-Symmetric Matrices
Problem 1: Symmetric and Skew-Symmetric Matrices
Problem 2: Symmetric & Skew-Symmetric Matrices
Hermitian and Skew Hermitian Matrix
Problem-Hermitian and Skew Hermitian Matrix
Triangular Matrices
Problem-Triangular Matrices
Diagonal Matrix
Problem 1: Diagonal Matrix
Scalar Matrix
Problem 1: Scalar Matrix
Identity Matrix
Problem 1: Identity Matrix
Adjoint of a Matrix
Problem 1: Adjoint of a Matrix
Addition of Matrices
Problem 1: Addition of Matrices
Subtraction of Matrices
Problem 1: Subtraction of Matrices
Multiplication of Matrix by a Real Number
Problem 1: Multiplication of Matrix by a Real Number
Multiplicative Identity of a Matrix
Problem 1: Multiplicative Identity of a Matrix
Properties of Transposed Matrices
Problem-Properties of Transposed Matrices
Multiplication of Matrices
More on Multiplication of Matrices
Problem 1: Multiplication of Matrices
Problem3-Multiplication of Matrices
3.2: Determinant of a 2x2 Matrix(
Practice Test
)
Determinant of 2-by-2 Matrix
Problem1-Singular and Non-Singular Matrix
Problem2-Singular and Non-Singular Matrix
Singular and Non-singular Matrix
Problem 1: Singular and Non-singular Matrix
Adjoint of a Matrix
Problem 1: Adjoint of a Matrix
Multiplicative Inverse of a Non-Singular Matrix
Problem 1: Multiplicative Inverse of a Non-Singular Matrix
Inverse of Matrix using Adjoint
More on Matrix Inverse Using Adjoint
Problem 1: Inverse of Matrix using Adjoint
Problem2-Matrix Inverse Using Adjoint
Problem3-Matrix Inverse Using Adjoint
Problem4-Matrix Inverse Using Adjoint
3.3: Solution of Simultaneous Linear Equations By Using Matrices
Solving Simultaneous Equations-Inversion Method
Use of Matrices in Solving Everyday Life Problems
3.4: Field
Introducing Field
Problem-Introducing Field
3.5: Properties of Matrix Addition, Scalar and Matrix Multiplication(
Practice Test
)
Commutative Law under Addition for Matrices
Problem 1: Commutative Law under Addition for Matrices
Associaitve Law under Addition for Matrices
Problem 1: Associaitve Law under Addition for Matrices
Additive Identity of a Matrix
Problem 1: Additive Identity of a Matrix
Additive Inverse of a Matrix
Problem 1: Additive Inverse of a Matrix
Multiplication of Matrices
Problem 1: Multiplication of Matrices
Problem 2: Multiplication of Matrices
Associative law under Multiplication of matrices
Problem 1: Associative law under Multiplication of matrices
Distributive Law of Multiplication over Addition for Matrices
Problem 1: Distributive Law of Multiplication over Addition for Matri
Commutative Law of Multiplication of Matrices
Problem 1: Commutative Law of Multiplication of Matrices
Prove That c(AB) = (cA)B = A(cB)
Problem-Prove That c(AB) = (cA)B = A(cB)
Properties of Scalar Multiplication
3.6: Determinants(
Practice Test
)
Minor of an Element of a Matrix or Its Determinant
Problem-Minor of an Element of a Matrix or Its Determinant
Cofactor of an Element of a Matrix
Problem-Cofactor of an Element of a Matrix
Determinant of a Sqaure Matrix of Order 3 or greater
Problem-Determinant of a Sqaure Matrix of Order 3 or greater
3.7: Properties of Determinants Which Help in Their Evaluation(
Practice Test
)
Properties of Determinants
More on Properties of Determinants
Problem 1-Properties of Determinants
Problem 2-Properties of Determinants
Problem 3-Properties of Determinants
Problem 4-Properties of Determinants
Properties of Determinants of Order Three
Problem-Properties of Determinants of Order Three
Alternate Method For Expanding a Third Order Determinant
Problem-Alternate Method For Expanding a Third Order Determinant
3.8: Adjoint and Inverse of a Square Matrix of Order n = 3 or n > 3(
Practice Test
)
Inverse of Matrix using Adjoint
More on Matrix Inverse Using Adjoint
Problem 1: Inverse of Matrix using Adjoint
Problem2-Matrix Inverse Using Adjoint
Adjoint of a Square Matrix of Order n = 3 or n > 3
Problem-Adjoint of a Square Matrix of Order n = 3 or n > 3
Property for whole transpose of product of Matrices
Property for Whole Inverse of Product of Matrices
More on Property for Whole Inverse of Product of Matrices
Problem 1: Property for whole transpose of product of Matrices
3.9: Elementary Row and Column Operations on a Matrix(
Practice Test
)
Deriving a Method For Determining Inverses
Problem-Deriving a Method For Determining Inverses
Inverse of Matrix by Row Operation
Problem-Inverse of Matrix by Row Operation
Problem-More on Inverse of Matrix by Row Operation
Inverse of Matrix by Column Operation
Problem-Inverse of Matrix by Column Operation
Problem-More on Inverse of Matrix by Column Operation
Triangular Matrices
Problem-Triangular Matrices
Symmetric and Skew-Symmetric Matrices
Problem 1: Symmetric and Skew-Symmetric Matrices
Hermitian and Skew Hermitian Matrix
Problem-Hermitian and Skew Hermitian Matrix
3.10: Echelon and Reduced Echelon Forms of Matrices(
Practice Test
)
Echelon and Reduced Echelon Form of Matrix
Problem-Echelon and Reduced Echelon Form of Matrix
Echelon Form of Matrix
Problem-Echelon Form of Matrix
Reduced Echelon Form of Matrix
Problem-Reduced Echelon Form of Matrix
Rank of a Matrix
Problem-Rank of a Matrix
Invertible Matrix
Problem-Invertible Matrix
Theorems on Invertible Matrix
More Theorems on Invertible Matrix
3.11: Systems of Linear Equations(
Practice Test
)
Solution of System of Linear Equations by Row Operation
Problem-Solution of System of Linear Equations by Row Operation
Problem-More on Solution of System of Linear Equations by Row Operati
Solution of Homogeneous Linear Equations
More on Solution of Homogeneous Linear Equations
Problem-Solution of Homogeneous Linear Equations
More on Problem-Solution of Homogeneous Linear Equations
3.12: Cramer's Rule(
Practice Test
)
System of Linear Equations
More on System of Linear Equations
Problem-System of Linear Equations
Consistency and Inconsistency of a System
Problem-Consistency and Inconsistency of a System
Solving a System of Three Non-Homogeneous Linear Equations
Problem-Solving a System of Three Non-Homogeneous Linear Equations
Solving Simultaneous Equations-Cramers Rule
More on Use of Matrices Solving Everyday Life Problems
Problem-Solving Simultaneous Equations-Cramers Rule
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