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Chapter 2 Matrices and Linear Transformations. Addition, Scalar Multiplication, and Multiplication of Matrices. Figure 2.1 An arbitrary m X n matrix A. Figure 2.2 The elements of a square matrix A where the subscripts are equal, form the main diagonal. Figure 2.3.
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Chapter 2 Matrices and Linear Transformations
Addition, Scalar Multiplication, and Multiplication of Matrices Figure 2.1 An arbitrary m X n matrix A.
Figure 2.2 The elements of a square matrix A where the subscripts are equal, form the main diagonal.
Properties of Matrix Operations Example 5 Figure 2.4
Example 6 Figure 2.6 Many networks are designed to accept signals at certain points and to deliver a modified version of the signals. Here, the usual arrangement is illustrated.
Example 6 (cont’d) Figure 2.7 An example of a two-port.
Figure 2.8 Three two-ports with transmission matrices A, B, and C.
Exercise Set 2.2 Figure 2.9 Determine the transmission matrices of the two-ports.
Figure 2.10 A two-port that consists of three two-ports placed in series.
Matrix Transformations, Rotations, and Dilations Figure 2.11
Example 1 Figure 2.15
Theorem 2.9 Figure 2.18
Linear Transformations, Graphics, and Fractals Figure 2.21 Here, the structure preserving ideas of a linear transformation are illustrated.
Example 5 Figure 2.23
A Communication Model and Group Relationships in Sociology Figure 2.25
Exercise Set 2.9 Figure 2.27