Contents
Chapter 1: Matrix and Vector Variables (Numeric and Symbolic)
1.2 Variables and Special Constants
1.3 Symbolic and Numeric Variables
1.9 Elementary Functions that Support Complex Matrix Arguments
1.10 Elementary Functions that Support Complex Vector Arguments
1.11 Vector Functions of Several Variables
1.11.1 Functions of One Variable
2.2 Operations with Numeric Matrices
2.3 Eigenvalues and Eigenvectors
2.5 Equivalent Matrices and Diagonalization
Chapter 3: Sequences, Arrays, Tables, Lists and Sets
3.3 Relationships Between Vectors, Matrices and Arrays
3.5.1 Selecting and Manipulating Elements From Lists
3.5.2 Ordering and Applying Functions to Lists
3.5.3 Performing Operations With Elements of Lists
Chapter 4: Vector Spaces and Linear Applications. Equations and Systems
4.1 Matrix Algebra and Vector Spaces
4.2 Linear Independence, Bases, and Base Change
4.3 Vector Geometry in 2 and 3 Dimensions
4.7 Systems of Linear Equations
4.8 The Rouche-Frobenius Theorem
Chapter 5: Vector and Matrix Functions of Complex Variables
5.2 General Functions of a Complex Variable
5.2.1 Trigonometric Functions of a Complex Variable
5.2.2 Hyperbolic Functions of a Complex Variable
5.2.3 Exponential and Logarithmic Functions of a Complex Variable
5.2.4 Specific Functions of a Complex Variable
5.3 Basic Functions with Complex Vector Arguments
5.4 Basic Functions with Complex Matrix Arguments
5.5 General Functions with Complex Matrix Arguments
5.5.1 Trigonometric Functions of a Complex Matrix Variable
5.5.2 Hyperbolic Functions of a Complex Matrix Variable
5.5.3 Exponential and Logarithmic Functions of Complex Matrix Variables