Math Grade 11
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3.1 Introduction
3.1 Introduction
3.1.1 Addition of Matrices
3.1.2 Scalar Multiplication
3.1.3 Subtraction of Matrices
3.1.4 Multiplication of two Matrices
3.2 Determinant of a 2 x 2 matrix
3.2 Determinant of a 2 x 2 matrix
3.2.1 Singular and Non-Singular Matrices
3.2.2 Adjoint of a 2 x 2 Matrix
3.2.3 Inverse of a 2 x 2 Matrix
3.3 Solution of simultaneous linear equations by using matrices
Exercise 3.1
3.4 Field
3.5 Properties of Matrix Addition , Scalar Multiplication and Matrix Multiplication.
Exercise 3.2
3.6 Determinants
3.6 Determinants
3.6.1 Minor and Cofactor of an Element of a Matrix or its Determinant
3.6.2 Determinant of a Square Matrix of Order n>=3:
3.7 Properties of Determinants which Help in their Evaluation
3.8 Adjoint and Inverse of a Square Matrix of Order n>=3
Exercise 3.3
3.9 Elementary Row and Column Operations on a Matrix
3.10 Echelon and Reduced Echelon Forms of Matrices
Exercise 3.4
3.11 System of Linear Equations
3.11 System of Linear Equations
3.11.1 Homogeneous Linear Equations
3.11.2 Non-Homogeneous Linear Equations
3.12 Cramers Rule
Exercise 3.5
