Numerical Linear Algebra with Applications

List of Figures

Fig. 0.1 NLALIB hierarchy. xxv

Fig. 1.1 Matrix multiplication. 3

Fig. 1.2 Rotating the xy-plane. 7

Fig. 1.3 Rotated line 8

Fig. 1.4 Rotate three-dimensional coordinate system. 9

Fig. 1.5 Translate a point in two dimensions. 9

Fig. 1.6 Rotate a line about a point. 10

Fig. 1.7 Rotation about an arbitrary point. 11

Fig. 1.8 Undirected graph. 12

Fig. 2.1 Polynomial passing through four points. 26

Fig. 2.2 Inconsistent equations. 31

Fig. 2.3 Truss. 38

Fig. 2.4 Electrical circuit. 39

Fig. 2.5 Truss problem. 45

Fig. 2.6 Circuit problem. 45

Fig. 3.1 Subspace spanned by two vectors. 48

Fig. 4.1 Geometrical interpretation of the determinant. 75

Fig. 5.1 Direction of eigenvectors. 80

Fig. 5.2 Circuit with an inductor. 89

Fig. 5.3 Currents ...