Math Grade 9
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Introduction
1.1 Matrix
1.1 Matrix
1.1.1 Rows and Columns of a Matrix
1.1.2 Order of a Matrix
1.1.3 Equal Matrices
1.2 Types of Matrices
1.3 Addition and Subtraction of Matrices
1.3 Addition and Subtraction of Matrices
1.3.1 Addition of Matrices
1.3.2 Subtraction of Matrices
1.3.3 Multiplication of a Matrix by a Real Number
1.3.4 Commutative and Associative Laws of Addition of Matrices
1.3.5 Additive Identity of a Matrix
1.3.6 Additive Inverse of a Matrix
1.4 Multiplication of Matrices
1.4 Multiplication of Matrices
1.4.1 Associative Law under Multiplication
1.4.2 Distributive Laws of Multiplication over Addition and Subtraction
1.4.3 Commutative Law of Multiplication of Matrices
1.4.4 Multiplicative Identity of a Matrix
1.4.5 Verification of\[ (AB)^t = B^t A^t\]
1.5 Multiplicative Inverse of a Matrix
1.5 Multiplicative Inverse of a Matrix
1.5.1 Determinant of a 2-by-2 Matrix
1.5.2 Singular and Non-Singular Matrix
1.5.3 Adjoint of a Matrix
1.5.4 Multiplicative Inverse of a Non-singular Matrix
1.5.5 Inverse of a Matrix using Adjoint
1.5.6 Verification of \[(AB)^{-1} = B^{-1} A^{-1}\]
1.6 Solution of Simultaneous Linear Equations