Matrix Methods and Differential Equations A Practical Introduction Wynand S.. Verwoerd Download free books at bookbooa.com... Verwoerd Matrix Methods And Differential Equations A
Trang 1
Matrix Methods and Differential
Equations
A Practical Introduction
Wynand S Verwoerd
Download free books at
bookbooa.com
Trang 2Wynand S Verwoerd
Matrix Methods And Differential Equations
A Practical Introduction
Download free eBooks at bookboon.com
Trang 3Matrix Methods and Differential Equations: A Practical Introduction
© 2012 Wynand S Verwoerd & bookboon.com
ISBN 978-87-403-0251-6
Download free eBooks at bookboon.com
Trang 4Contents
Introduction Mathematical Modelling
1.1 What is a mathematical model?
2 Simultaneous Linear Equations 15
2.3 Applying matrices to simultaneous equations 23 2.4 Determinants 26
Zed Homogeneous and Non-homogeneous equations 39
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Trang 5Matrix Methods And Differential Equations
3.1
3.2
3.3
3.4
3.5
3.6
4.1
4.2
4.3
4.4
4.5
4.6
4.7
Matrices in Geometry
Reflection
Shear
Plane Rotation
Orthogonal and orthonormal vectors
Geometric addition of vectors
Matrices and vectors as objects
Eigenvalues and Diagonalization
Linear superpositions of vectors
Calculating Eigenvalues and Eigenvectors
Similar matrices and diagonalisation
How eigenvalues relate to determinants
Using diagonalisation to decouple linear equations
Orthonormal eigenvectors
Summary: eigenvalues, eigenvectors and diagonalisation
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Contents
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68
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