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Maths for Signals and Systems Linear Algebra in Engineering Lectures 19-20, Tuesday 25st 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 19-20, Tuesday 25st November 2014 DR TANIA STATHAKI READER (ASSOCIATE PROFFESOR)"— Presentation transcript:

1 Maths for Signals and Systems Linear Algebra in Engineering Lectures 19-20, Tuesday 25st November 2014 DR TANIA STATHAKI READER (ASSOCIATE PROFFESOR) IN SIGNAL PROCESSING IMPERIAL 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`

7 Mathematics for Signals and Systems`

8 Mathematics for Signals and Systems

9 Mathematics for Signals and Systems`

10 Mathematics for Signals and Systems
Types of matrix inverses 2-sided inverse (or simply inverse) Left inverse. (Note that a rectangular matrix cannot have a 2-sided inverse!) Right inverse (full rank)

11 Mathematics for Signals and Systems
(1) column space row space (2) (1) (2) Nulls pace

12 Mathematics for Signals and Systems

13 Mathematics for Signals and Systems


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