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Maths for Signals and Systems Linear Algebra in Engineering Lectures 16-17, Tuesday 18th November 2014 DR TANIA STATHAKI READER (ASSOCIATE PROFFESOR)

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Presentation on theme: "Maths for Signals and Systems Linear Algebra in Engineering Lectures 16-17, Tuesday 18th November 2014 DR TANIA STATHAKI READER (ASSOCIATE PROFFESOR)"— Presentation transcript:

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

2 Mathematics for Signals and Systems

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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

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Not Positive Definite minimum Positive Definite

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minimum

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