Matrix Multiplication
Example 2By: Jeffrey Bivin
Lake Zurich High School
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