Matrix Multiplication Example 1 Original author: Jeffrey Bivin, Lake Zurich High School.

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Presentation transcript:

Matrix Multiplication Example 1 Original author: Jeffrey Bivin, Lake Zurich High School

Matrix Multiplication X Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X 3 x x x 2 = 25 Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X 3 x x x 2 = 25 Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X 3 x x x 2 = 25 Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X 25 = Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X 3 x ( -1 ) + 2 x x 7 = 38 Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X 3 x ( -1 ) + 2 x x 7 = 38 Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X 3 x ( -1 ) + 2 x x 7 = 38 Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X 2538 = Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X 3 x x x 4 = 40 Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X 3 x x x 4 = 40 Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X 3 x x x 4 = 40 Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X = Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X -2 x x x 2 = -8 Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X -2 x x x 2 = -8 Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X -2 x x x 2 = -8 Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X = Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X -2 x (-1) + 0 x x 7 = 9 Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X -2 x (-1) + 0 x x 7 = 9 Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X -2 x (-1) + 0 x x 7 = 9 Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X = Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X -2 x x x 4 = 0 Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X -2 x x x 4 = 0 Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X -2 x x x 4 = 0 Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X = Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X 4 x x x 2 = 38 Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X 4 x x x 2 = 38 Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X 4 x x x 2 = 38 Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X = Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X 4 x (-1) + 6 x x 7 = 77 Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X 4 x (-1) + 6 x x 7 = 77 Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X 4 x (-1) + 6 x x 7 = 77 Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X = Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X 4 x x x 4 = 86 Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X 4 x x x 4 = 86 Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X 4 x x x 4 = 86 Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X Original author: Jeffrey Bivin, Lake Zurich High School

Matrix Multiplication X = Original author: Jeffrey Bivin, Lake Zurich High School

Matrix Multiplication Example 2 Original author: Jeffrey Bivin, Lake Zurich High School

Matrix Multiplication X Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 X Column X x x 3 = 30 Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 X Column X x x 3 = 30 Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 X Column X = 30 Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 X Column X x x 4 = 26 Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 X Column X x x 4 = 26 Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 X Column X = 3026 Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 X Column X x x 3 = -7 Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 X Column X x x 3 = -7 Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 X Column X = Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 X Column X x x 4 = 0 Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 X Column X x x 4 = 0 Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 X Column X = Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 X Column X x x 3 = 47 Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 X Column X x x 3 = 47 Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 X Column X = Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 X Column X x x 4 = 44 Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 X Column X x x 4 = 44 Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 X Column X = Original author: Jeffrey Bivin, Lake Zurich High School

Matrix Multiplication X = Original author: Jeffrey Bivin, Lake Zurich High School

Matrix Multiplication Example 3 Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X 5 x x 4 = 22 Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X 5 x x 4 = 22 Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X 22 = Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X 5 x x 4 = 22 Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X 5 x x 5 = 15 Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X 2215 = Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X 5 x x 5 = 15 Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X 5 x x 2 = 11 Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X = Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X 5 x x 6 = 33 Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X 5 x x 6 = 33 Original author: Jeffrey Bivin, Lake Zurich High School

Row 1 x Column X = Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X -2 x x 4 = 12 Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X -2 x x 4 = 12 Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X = Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X -2 x x 5 = 20 Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X -2 x x 5 = 20 Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X = Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X -2 x x 2 = 6 Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X -2 x x 2 = 6 Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X = Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X -2 x x 6 = 18 Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X -2 x x 6 = 18 Original author: Jeffrey Bivin, Lake Zurich High School

Row 2 x Column X = Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X -1 x x 4 = -2 Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X -1 x x 4 = -2 Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X = Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X -1 x x 5 = 0 Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X -1 x x 5 = 0 Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X = Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X -1 x x 2 = -1 Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X -1 x x 2 = -1 Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X = Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X -1 x x 6 = -3 Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X -1 x x 6 = -3 Original author: Jeffrey Bivin, Lake Zurich High School

Row 3 x Column X = Original author: Jeffrey Bivin, Lake Zurich High School

Matrix Multiplication X = Original author: Jeffrey Bivin, Lake Zurich High School