Matrices The Identity Matrix - PowerPoint PPT Presentation

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Matrices The Identity Matrix

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... the identity matrix is multiplied times any square matrix A of the same order, ... by making each entry on the main diagonal of a square matrix equal to 1 ... – PowerPoint PPT presentation

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Title: Matrices The Identity Matrix


1
Matrices - The Identity Matrix
  • The identity matrix of order 2 is given by ...
  • The identity matrix of order 3 is given by ...
  • Note that the identity matrix is formed by
    making each entry on the main diagonal of a
    square matrix equal to 1 ...

and all other entries are zeros.
  • When the identity matrix is multiplied times
    any square matrix A of the same order, the result
    is matrix A.

2
Matrices - The Identity Matrix
  • Example 1
  • Let matrix A be given by ...

Find the products AI and IA.
Slide 2
3
Matrices - The Identity Matrix
  • Example 2
  • Let matrix B be given by ...

Find the product IB.
Slide 3
4
Matrices - The Identity Matrix
END OF PRESENTATION
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