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DR TANIA STATHAKI READER (ASSOCIATE PROFFESOR) IN SIGNAL PROCESSING IMPERIAL COLLEGE LONDON

Maths for Signals and Systems Linear Algebra in Engineering Lectures 16-17, Tuesday 18 th November 2014. DR TANIA STATHAKI READER (ASSOCIATE PROFFESOR) IN SIGNAL PROCESSING IMPERIAL COLLEGE LONDON. Mathematics for Signals and Systems. Mathematics for Signals and Systems.

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DR TANIA STATHAKI READER (ASSOCIATE PROFFESOR) IN SIGNAL PROCESSING IMPERIAL COLLEGE LONDON

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  1. Maths for Signals and SystemsLinear Algebra in EngineeringLectures 16-17, Tuesday 18th November 2014 DR TANIA STATHAKI READER (ASSOCIATE PROFFESOR) IN SIGNAL PROCESSINGIMPERIAL COLLEGE LONDON

  2. Mathematics for Signals and Systems

  3. Mathematics for Signals and Systems

  4. Mathematics for Signals and Systems

  5. Mathematics for Signals and Systems

  6. Mathematics for Signals and Systems • Eigenvalue sign • We proved that the eigenvalues of a symmetric matrix are real. • It can be proven that the signs of the pivots are the same as the signs of the eigenvalues. • Just to remind you: • Product of pivots=Product of eigenvalues=Determinant

  7. Mathematics for Signals and Systems

  8. Mathematics for Signals and Systems

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  19. Mathematics for Signals and Systems Not Positive Definite Positive Definite minimum

  20. Mathematics for Signals and Systems minimum

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  22. Mathematics for Signals and Systems

  23. Mathematics for Signals and Systems 1 4 2 3

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