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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.
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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 Jeff Bivin -- LZHS
Row 1 X Column 1 3 x 5 + 5x3 =30 Jeff Bivin -- LZHS
Row 1 X Column 1 = A(1,1) Jeff Bivin -- LZHS
Row 1 X Column 2 3 x 2+ 5 x 4 = 26 Jeff Bivin -- LZHS
Row 1 X Column 2 3 x 2 + 5 x 4 =26 Jeff Bivin -- LZHS
Row 1 X Column 2 = A(1,2) Jeff Bivin -- LZHS
Row 2 X Column 1 -2 x 5+ 1 x 3 = -7 Jeff Bivin -- LZHS
Row 2 X Column 1 -2 x 5 + 1 x 3 = -7 Jeff Bivin -- LZHS
Row 2 X Column 1 = A(2,1) Jeff Bivin -- LZHS
Row 2 X Column 2 -2 x 2+ 1 x 4 = 0 Jeff Bivin -- LZHS
Row 2 X Column 2 -2 x 2 + 1 x 4 = 0 Jeff Bivin -- LZHS
Row 2 X Column 2 = A(2,2) Jeff Bivin -- LZHS
Row 3 X Column 1 4 x 5+ 9 x 3 = 47 Jeff Bivin -- LZHS
Row 3 X Column 1 4 x 5 + 9 x 3 = 47 Jeff Bivin -- LZHS
Row 3 X Column 1 = A(3,1) Jeff Bivin -- LZHS
Row 3 X Column 2 4 x 2+ 9 x 4 = 44 Jeff Bivin -- LZHS
Row 3 X Column 2 4 x 2 + 9 x 4 = 44 Jeff Bivin -- LZHS
Row 3 X Column 2 = A(3,2) Jeff Bivin -- LZHS
A Quick Review Jeff Bivin -- LZHS
Row 1 X Column 1 = A(1,1) Jeff Bivin -- LZHS
Row 1 X Column 2 = A(1,2) Jeff Bivin -- LZHS
Row 2 X Column 1 = A(2,1) Jeff Bivin -- LZHS
Row 2 X Column 2 = A(2,2) Jeff Bivin -- LZHS
Row 3 X Column 1 = A(3,1) Jeff Bivin -- LZHS
Row 3 X Column 2 = A(3,2) Jeff Bivin -- LZHS
Matrix Multiplication = Jeff Bivin -- LZHS