Lec 13 - Block Matrix & Matrix Mapping

Wednesday, February 01, 2012

9:33 AM

    Definition

     

     

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    Given two matrices we want to multiply, we can split them into appropriate sized blocks and then just multiply using the blocks instead of the entries.

     

    Eg

     

     

     

     

     

     

     

     

     

     

    Important Matrix Mappings

     

     

     

    Eg

     

     

     

    Functions can associate things other than numbers.

     

    Eg

    Vectors

     

     

    Eg

     

     

     

     

    Definition

     

    Important Theorem:

    (ie. Matrix mappings preserve linear combinations)

     

    Proof:

     

     

     

 

Created by Tim Pei with Microsoft OneNote 2010
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