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7.3.2 Direction Cosines
7.3.3 Projections
7.4 The Dirac Notation and Some General Theorems*
7.4.1 Cauchy-Schwartz Inequality
7.4.2 Triangle Inequality
7.5 Cross Product and Scalar Triple Product*
7.5.1 Cross Product
7.5.2 Geometric Interpretation of the Cross Product
7.5.3 Scalar Triple Product
7.6 Vector Valued Functions
7.7 Line Integral
7.8 Infinite Dimensional Vector Spaces*
7.9 MATLAB Commands Review

8. Matrices
8.1 Setting up Matrices
8.1.1 Creating Matrices in MATLAB
8.2 Adding Matrices
8.3 Multiplying a Matrix by a Scalar
8.4 Multiplying Matrices
8.5 Inverse of a Matrix
8.6 Solving a System of Linear Equations
8.7 Application of Matrix Methods
8.7.1 dc Circuit Analysis
8.7.2 dc Circuit Design
8.7.3 ac Circuit Analysis
8.7.4 Accuracy of a Truncated Taylor Series
8.7.5 Reconstructing a Function from Its Fourier
Components
8.7.6 Interpolating the Coefficients of an (n – 1)-degree
Polynomial from n Points
8.7.7 Least-Square Fit of Data
8.8 Eigenvalues and Eigenvectors*
8.8.1 Finding the Eigenvalues of a Matrix
8.8.2 Finding the Eigenvalues and Eigenvectors Using
MATLAB
8.9 The Cayley-Hamilton and Other Analytical Techniques*
8.9.1 Cayley-Hamilton Theorem
dX
8.9.2 Solution of Equations of the Form = AX
dt
dX
8.9.3 Solution of Equations of the Form = AX + B t()
dt
8.9.4 Pauli Spinors
8.10 Special Classes of Matrices*
8.10.1 Hermitian Matrices

© 2001 by CRC Press LLC