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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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

Mathematics for Signals and Systems  

Mathematics for Signals and Systems  

Mathematics for Signals and Systems  

Mathematics for Signals and Systems  

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

Mathematics for Signals and Systems  

Mathematics for Signals and Systems  

Mathematics for Signals and Systems  

Mathematics for Signals and Systems  

Mathematics for Signals and Systems  

Mathematics for Signals and Systems  

Mathematics for Signals and Systems      

Mathematics for Signals and Systems  

Mathematics for Signals and Systems  

Mathematics for Signals and Systems  

Mathematics for Signals and Systems    

Mathematics for Signals and Systems  

Mathematics for Signals and Systems   Not Positive Definite     minimum Positive Definite

Mathematics for Signals and Systems     minimum

Mathematics for Signals and Systems  

Mathematics for Signals and Systems  

Mathematics for Signals and Systems   1 2 3 4