Matrix Multiplication

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Matrix Multiplication. Example 2 By: Jeffrey Bivin Lake Zurich High School jeff.bivin@lz95.org. Last Updated: October 11, 2005. Matrix Multiplication. Row by Column. Jeff Bivin -- LZHS. Let’s Begin………. Jeff Bivin -- LZHS. Row 1 X Column 1. 3 x 5 + 5 x 3 = 30. - PowerPoint PPT Presentation

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Matrix Multiplication

Example 2By: Jeffrey Bivin

Lake Zurich High School

jeff.bivin@lz95.org

Last Updated: October 11, 2005

Matrix Multiplication

3 5

-2 1

4 9

X5 2

3 4

Jeff Bivin -- LZHS

Let’s Begin……….

Jeff Bivin -- LZHS

Row 1 X Column 1

3 5

-2 1

4 9

X5 2

3 4

3 x 5 + 5 x 3 = 30

Jeff Bivin -- LZHS

Row 1 X Column 1

3 5

-2 1

4 9

X5 2

3 4

3 x 5 + 5 x 3 = 30

Jeff Bivin -- LZHS

Row 1 X Column 1

3 5

-2 1

4 9

X5 2

3 4

=30

Jeff Bivin -- LZHS

Row 1 X Column 2

3 5

-2 1

4 9

X5 2

3 4

3 x 2 + 5 x 4 = 26

Jeff Bivin -- LZHS

Row 1 X Column 2

3 5

-2 1

4 9

X5 2

3 4

3 x 2 + 5 x 4 = 26

Jeff Bivin -- LZHS

Row 1 X Column 2

3 5

-2 1

4 9

X5 2

3 4

=30 26

Jeff Bivin -- LZHS

Row 2 X Column 1

3 5

-2 1

4 9

X5 2

3 4

-2 x 5 + 1 x 3 = -7

Jeff Bivin -- LZHS

Row 2 X Column 1

3 5

-2 1

4 9

X5 2

3 4

-2 x 5 + 1 x 3 = -7

Jeff Bivin -- LZHS

Row 2 X Column 1

3 5

-2 1

4 9

X5 2

3 4

=30 26

-7

Jeff Bivin -- LZHS

Row 2 X Column 2

3 5

-2 1

4 9

X5 2

3 4

-2 x 2 + 1 x 4 = 0

Jeff Bivin -- LZHS

Row 2 X Column 2

3 5

-2 1

4 9

X5 2

3 4

-2 x 2 + 1 x 4 = 0

Jeff Bivin -- LZHS

Row 2 X Column 2

3 5

-2 1

4 9

X5 2

3 4

=30 26

-7 0

Jeff Bivin -- LZHS

Row 3 X Column 1

3 5

-2 1

4 9

X5 2

3 4

4 x 5 + 9 x 3 = 47

Jeff Bivin -- LZHS

Row 3 X Column 1

3 5

-2 1

4 9

X5 2

3 4

4 x 5 + 9 x 3 = 47

Jeff Bivin -- LZHS

Row 3 X Column 1

3 5

-2 1

4 9

X5 2

3 4

=30 26

-7 0

47

Jeff Bivin -- LZHS

Row 3 X Column 2

3 5

-2 1

4 9

X5 2

3 4

4 x 2 + 9 x 4 = 44

Jeff Bivin -- LZHS

Row 3 X Column 2

3 5

-2 1

4 9

X5 2

3 4

4 x 2 + 9 x 4 = 44

Jeff Bivin -- LZHS

Row 3 X Column 2

3 5

-2 1

4 9

X5 2

3 4

=30 26

-7 0

47 44

Jeff Bivin -- LZHS

A Quick Review

Jeff Bivin -- LZHS

Row 1 X Column 1

3 5

-2 1

4 9

X5 2

3 4

=30

Jeff Bivin -- LZHS

Row 1 X Column 2

3 5

-2 1

4 9

X5 2

3 4

=30 26

Jeff Bivin -- LZHS

Row 2 X Column 1

3 5

-2 1

4 9

X5 2

3 4

=30 26

-7

Jeff Bivin -- LZHS

Row 2 X Column 2

3 5

-2 1

4 9

X5 2

3 4

=30 26

-7 0

Jeff Bivin -- LZHS

Row 3 X Column 1

3 5

-2 1

4 9

X5 2

3 4

=30 26

-7 0

47

Jeff Bivin -- LZHS

Row 3 X Column 2

3 5

-2 1

4 9

X5 2

3 4

=30 26

-7 0

47 44

Jeff Bivin -- LZHS

Matrix Multiplication

3 5

-2 1

4 9

X5 2

3 4

=30 26

-7 0

47 44

Jeff Bivin -- LZHS

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