kreyzig ch 08 linear algebra
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Matrix Eigenvalue Problems
TF2101
Matematika Rekayasa Sistem
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
![Page 4: Kreyzig ch 08 linear algebra](https://reader033.vdocuments.us/reader033/viewer/2022061217/54b508f34a79590c6e8b45df/html5/thumbnails/4.jpg)
Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
![Page 5: Kreyzig ch 08 linear algebra](https://reader033.vdocuments.us/reader033/viewer/2022061217/54b508f34a79590c6e8b45df/html5/thumbnails/5.jpg)
Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
Matrix Eigenvalue Problems
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
22
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
Pages 335-336a
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
Pages 335-336b
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
Page 337a
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
Page 337b
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
Page 338
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
Pages 339-340a
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
Pages 339-340b
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
Pages 339-340c
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
Page 346 (3)
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
Eigenbases, Diagonalization, Quadratic Forms
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
Example
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
Page 352
>> [V,E] =eig(A)V = -0.3015 0.4364 -0.3015 0.3015 0.2182 0.9045 -0.9045 0.8729 -0.3015 E = -4.0000 0 0 0 -0.0000 0 0 0 3.0000
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
Quadratic Forms. Transformation to Principal Axes
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
Page 353 (2)
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
Page 353 (3)
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
Page 354 (1)
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
Page 354 (2a)
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
Page 354 (2b)
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
Complex Matrices and FormsThe three classes of real matrices have complex counterparts that are of practical interest in certain applications, mainly because of their spectra, for instance in quantum mechanics. To define these classes, we need the following standard.
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Example if then and
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
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Example Hermitian Skew-Hermitian unitary
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
i
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Example Hermitian Skew-Hermitian unitary
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ACharacteristic equation Eigenvalues
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
Page 363a
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Advanced Engineering Mathematics by Erwin KreyszigCopyright 2007 John Wiley & Sons, Inc. All rights reserved.
Page 363b