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

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Presentation on theme: "Matrix Multiplication Example 1 Original author: Jeffrey Bivin, Lake Zurich High School."— Presentation transcript:

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

2 Matrix Multiplication 325 -201 469 52 037 274 X Original author: Jeffrey Bivin, Lake Zurich High School

3 Row 1 x Column 1 325 -201 469 52 037 274 X 3 x 5 + 2 x 0 + 5 x 2 = 25 Original author: Jeffrey Bivin, Lake Zurich High School

4 Row 1 x Column 1 325 -201 469 52 037 274 X 3 x 5 + 2 x 0 + 5 x 2 = 25 Original author: Jeffrey Bivin, Lake Zurich High School

5 Row 1 x Column 1 325 -201 469 52 037 274 X 3 x 5 + 2 x 0 + 5 x 2 = 25 Original author: Jeffrey Bivin, Lake Zurich High School

6 Row 1 x Column 1 325 -201 469 52 037 274 X 25 = Original author: Jeffrey Bivin, Lake Zurich High School

7 Row 1 x Column 2 325 -201 469 52 037 274 X 3 x ( -1 ) + 2 x 3 + 5 x 7 = 38 Original author: Jeffrey Bivin, Lake Zurich High School

8 Row 1 x Column 2 325 -201 469 52 037 274 X 3 x ( -1 ) + 2 x 3 + 5 x 7 = 38 Original author: Jeffrey Bivin, Lake Zurich High School

9 Row 1 x Column 2 325 -201 469 52 037 274 X 3 x ( -1 ) + 2 x 3 + 5 x 7 = 38 Original author: Jeffrey Bivin, Lake Zurich High School

10 Row 1 x Column 2 325 -201 469 52 037 274 X 2538 = Original author: Jeffrey Bivin, Lake Zurich High School

11 Row 1 x Column 3 325 -201 469 52 037 274 X 3 x 2 + 2 x 7 + 5 x 4 = 40 Original author: Jeffrey Bivin, Lake Zurich High School

12 Row 1 x Column 3 325 -201 469 52 037 274 X 3 x 2 + 2 x 7 + 5 x 4 = 40 Original author: Jeffrey Bivin, Lake Zurich High School

13 Row 1 x Column 3 325 -201 469 52 037 274 X 3 x 2 + 2 x 7 + 5 x 4 = 40 Original author: Jeffrey Bivin, Lake Zurich High School

14 Row 1 x Column 3 325 -201 469 52 037 274 X 253840 = Original author: Jeffrey Bivin, Lake Zurich High School

15 Row 2 x Column 1 325 -201 469 52 037 274 X -2 x 5 + 0 x 0 + 1 x 2 = -8 Original author: Jeffrey Bivin, Lake Zurich High School

16 Row 2 x Column 1 325 -201 469 52 037 274 X -2 x 5 + 0 x 0 + 1 x 2 = -8 Original author: Jeffrey Bivin, Lake Zurich High School

17 Row 2 x Column 1 325 -201 469 52 037 274 X -2 x 5 + 0 x 0 + 1 x 2 = -8 Original author: Jeffrey Bivin, Lake Zurich High School

18 Row 2 x Column 1 325 -201 469 52 037 274 X 253840 -8 = Original author: Jeffrey Bivin, Lake Zurich High School

19 Row 2 x Column 2 325 -201 469 52 037 274 X Original author: Jeffrey Bivin, Lake Zurich High School

20 Row 2 x Column 2 325 -201 469 52 037 274 X -2 x (-1) + 0 x 3 + 1 x 7 = 9 Original author: Jeffrey Bivin, Lake Zurich High School

21 Row 2 x Column 2 325 -201 469 52 037 274 X -2 x (-1) + 0 x 3 + 1 x 7 = 9 Original author: Jeffrey Bivin, Lake Zurich High School

22 Row 2 x Column 2 325 -201 469 52 037 274 X -2 x (-1) + 0 x 3 + 1 x 7 = 9 Original author: Jeffrey Bivin, Lake Zurich High School

23 Row 2 x Column 2 325 -201 469 52 037 274 X 253840 -89 = Original author: Jeffrey Bivin, Lake Zurich High School

24 Row 2 x Column 3 325 -201 469 52 037 274 X -2 x 2 + 0 x 7 + 1 x 4 = 0 Original author: Jeffrey Bivin, Lake Zurich High School

25 Row 2 x Column 3 325 -201 469 52 037 274 X -2 x 2 + 0 x 7 + 1 x 4 = 0 Original author: Jeffrey Bivin, Lake Zurich High School

26 Row 2 x Column 3 325 -201 469 52 037 274 X -2 x 2 + 0 x 7 + 1 x 4 = 0 Original author: Jeffrey Bivin, Lake Zurich High School

27 Row 2 x Column 3 325 -201 469 52 037 274 X 253840 -890 = Original author: Jeffrey Bivin, Lake Zurich High School

28 Row 3 x Column 1 325 -201 469 52 037 274 X 4 x 5 + 6 x 0 + 9 x 2 = 38 Original author: Jeffrey Bivin, Lake Zurich High School

29 Row 3 x Column 1 325 -201 469 52 037 274 X 4 x 5 + 6 x 0 + 9 x 2 = 38 Original author: Jeffrey Bivin, Lake Zurich High School

30 Row 3 x Column 1 325 -201 469 52 037 274 X 4 x 5 + 6 x 0 + 9 x 2 = 38 Original author: Jeffrey Bivin, Lake Zurich High School

31 Row 3 x Column 1 325 -201 469 52 037 274 X 253840 -890 38 = Original author: Jeffrey Bivin, Lake Zurich High School

32 Row 3 x Column 2 325 -201 469 52 037 274 X 4 x (-1) + 6 x 3 + 9 x 7 = 77 Original author: Jeffrey Bivin, Lake Zurich High School

33 Row 3 x Column 2 325 -201 469 52 037 274 X 4 x (-1) + 6 x 3 + 9 x 7 = 77 Original author: Jeffrey Bivin, Lake Zurich High School

34 Row 3 x Column 2 325 -201 469 52 037 274 X 4 x (-1) + 6 x 3 + 9 x 7 = 77 Original author: Jeffrey Bivin, Lake Zurich High School

35 Row 3 x Column 2 325 -201 469 52 037 274 X 253840 -890 3877 = Original author: Jeffrey Bivin, Lake Zurich High School

36 Row 3 x Column 3 325 -201 469 52 037 274 X 4 x 2 + 6 x 7 + 9 x 4 = 86 Original author: Jeffrey Bivin, Lake Zurich High School

37 Row 3 x Column 3 325 -201 469 52 037 274 X 4 x 2 + 6 x 7 + 9 x 4 = 86 Original author: Jeffrey Bivin, Lake Zurich High School

38 Row 3 x Column 3 325 -201 469 52 037 274 X 4 x 2 + 6 x 7 + 9 x 4 = 86 Original author: Jeffrey Bivin, Lake Zurich High School

39 Row 3 x Column 3 325 -201 469 52 037 274 X 253840 -890 387786 Original author: Jeffrey Bivin, Lake Zurich High School

40 Matrix Multiplication 325 -201 469 52 037 274 X 253840 -890 387786 = Original author: Jeffrey Bivin, Lake Zurich High School

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

42 Matrix Multiplication 35 -21 49 X 52 34 Original author: Jeffrey Bivin, Lake Zurich High School

43 Row 1 X Column 1 35 -21 49 X 52 34 3 x 5 + 5 x 3 = 30 Original author: Jeffrey Bivin, Lake Zurich High School

44 Row 1 X Column 1 35 -21 49 X 52 34 3 x 5 + 5 x 3 = 30 Original author: Jeffrey Bivin, Lake Zurich High School

45 Row 1 X Column 1 35 -21 49 X 52 34 = 30 Original author: Jeffrey Bivin, Lake Zurich High School

46 Row 1 X Column 2 35 -21 49 X 52 34 3 x 2 + 5 x 4 = 26 Original author: Jeffrey Bivin, Lake Zurich High School

47 Row 1 X Column 2 35 -21 49 X 52 34 3 x 2 + 5 x 4 = 26 Original author: Jeffrey Bivin, Lake Zurich High School

48 Row 1 X Column 2 35 -21 49 X 52 34 = 3026 Original author: Jeffrey Bivin, Lake Zurich High School

49 Row 2 X Column 1 35 -21 49 X 52 34 -2 x 5 + 1 x 3 = -7 Original author: Jeffrey Bivin, Lake Zurich High School

50 Row 2 X Column 1 35 -21 49 X 52 34 -2 x 5 + 1 x 3 = -7 Original author: Jeffrey Bivin, Lake Zurich High School

51 Row 2 X Column 1 35 -21 49 X 52 34 = 3026 -7 Original author: Jeffrey Bivin, Lake Zurich High School

52 Row 2 X Column 2 35 -21 49 X 52 34 -2 x 2 + 1 x 4 = 0 Original author: Jeffrey Bivin, Lake Zurich High School

53 Row 2 X Column 2 35 -21 49 X 52 34 -2 x 2 + 1 x 4 = 0 Original author: Jeffrey Bivin, Lake Zurich High School

54 Row 2 X Column 2 35 -21 49 X 52 34 = 3026 -7 0 Original author: Jeffrey Bivin, Lake Zurich High School

55 Row 3 X Column 1 35 -21 49 X 52 34 4 x 5 + 9 x 3 = 47 Original author: Jeffrey Bivin, Lake Zurich High School

56 Row 3 X Column 1 35 -21 49 X 52 34 4 x 5 + 9 x 3 = 47 Original author: Jeffrey Bivin, Lake Zurich High School

57 Row 3 X Column 1 35 -21 49 X 52 34 = 3026 -7 0 47 Original author: Jeffrey Bivin, Lake Zurich High School

58 Row 3 X Column 2 35 -21 49 X 52 34 4 x 2 + 9 x 4 = 44 Original author: Jeffrey Bivin, Lake Zurich High School

59 Row 3 X Column 2 35 -21 49 X 52 34 4 x 2 + 9 x 4 = 44 Original author: Jeffrey Bivin, Lake Zurich High School

60 Row 3 X Column 2 35 -21 49 X 52 34 = 3026 -7 0 4744 Original author: Jeffrey Bivin, Lake Zurich High School

61 Matrix Multiplication 35 -21 49 X 52 34 = 3026 -7 0 4744 Original author: Jeffrey Bivin, Lake Zurich High School

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

63 Row 1 x Column 1 2013 4526 53 -24 0 X 5 x 2 + 3 x 4 = 22 Original author: Jeffrey Bivin, Lake Zurich High School

64 Row 1 x Column 1 2013 4526 53 -24 0 X 5 x 2 + 3 x 4 = 22 Original author: Jeffrey Bivin, Lake Zurich High School

65 Row 1 x Column 1 2013 4526 53 -24 0 X 22 = Original author: Jeffrey Bivin, Lake Zurich High School

66 Row 1 x Column 2 2013 4526 53 -24 0 X 5 x 2 + 3 x 4 = 22 Original author: Jeffrey Bivin, Lake Zurich High School

67 Row 1 x Column 2 2013 4526 53 -24 0 X 5 x 0 + 3 x 5 = 15 Original author: Jeffrey Bivin, Lake Zurich High School

68 Row 1 x Column 2 2013 4526 53 -24 0 X 2215 = Original author: Jeffrey Bivin, Lake Zurich High School

69 Row 1 x Column 3 2013 4526 53 -24 0 X 5 x 1 + 3 x 5 = 15 Original author: Jeffrey Bivin, Lake Zurich High School

70 Row 1 x Column 3 2013 4526 53 -24 0 X 5 x 1 + 3 x 2 = 11 Original author: Jeffrey Bivin, Lake Zurich High School

71 Row 1 x Column 3 2013 4526 53 -24 0 X 221511 = Original author: Jeffrey Bivin, Lake Zurich High School

72 Row 1 x Column 4 2013 4526 53 -24 0 X 5 x 3 + 3 x 6 = 33 Original author: Jeffrey Bivin, Lake Zurich High School

73 Row 1 x Column 4 2013 4526 53 -24 0 X 5 x 3 + 3 x 6 = 33 Original author: Jeffrey Bivin, Lake Zurich High School

74 Row 1 x Column 4 2013 4526 53 -24 0 X 22151133 = Original author: Jeffrey Bivin, Lake Zurich High School

75 Row 2 x Column 1 2013 4526 53 -24 0 X -2 x 2 + 4 x 4 = 12 Original author: Jeffrey Bivin, Lake Zurich High School

76 Row 2 x Column 1 2013 4526 53 -24 0 X -2 x 2 + 4 x 4 = 12 Original author: Jeffrey Bivin, Lake Zurich High School

77 Row 2 x Column 1 2013 4526 53 -24 0 X 22151133 12 = Original author: Jeffrey Bivin, Lake Zurich High School

78 Row 2 x Column 2 2013 4526 53 -24 0 X -2 x 0 + 4 x 5 = 20 Original author: Jeffrey Bivin, Lake Zurich High School

79 Row 2 x Column 2 2013 4526 53 -24 0 X -2 x 0 + 4 x 5 = 20 Original author: Jeffrey Bivin, Lake Zurich High School

80 Row 2 x Column 2 2013 4526 53 -24 0 X 22151133 1220 = Original author: Jeffrey Bivin, Lake Zurich High School

81 Row 2 x Column 3 2013 4526 53 -24 0 X -2 x 1 + 4 x 2 = 6 Original author: Jeffrey Bivin, Lake Zurich High School

82 Row 2 x Column 3 2013 4526 53 -24 0 X -2 x 1 + 4 x 2 = 6 Original author: Jeffrey Bivin, Lake Zurich High School

83 Row 2 x Column 3 2013 4526 53 -24 0 X 22151133 1220 6 = Original author: Jeffrey Bivin, Lake Zurich High School

84 Row 2 x Column 4 2013 4526 53 -24 0 X -2 x 3 + 4 x 6 = 18 Original author: Jeffrey Bivin, Lake Zurich High School

85 Row 2 x Column 4 2013 4526 53 -24 0 X -2 x 3 + 4 x 6 = 18 Original author: Jeffrey Bivin, Lake Zurich High School

86 Row 2 x Column 4 2013 4526 53 -24 0 X 22151133 1220 618 = Original author: Jeffrey Bivin, Lake Zurich High School

87 Row 3 x Column 1 2013 4526 53 -24 0 X -1 x 2 + 0 x 4 = -2 Original author: Jeffrey Bivin, Lake Zurich High School

88 Row 3 x Column 1 2013 4526 53 -24 0 X -1 x 2 + 0 x 4 = -2 Original author: Jeffrey Bivin, Lake Zurich High School

89 Row 3 x Column 1 2013 4526 53 -24 0 X 22151133 1220 618 -2 = Original author: Jeffrey Bivin, Lake Zurich High School

90 Row 3 x Column 2 2013 4526 53 -24 0 X -1 x 0 + 0 x 5 = 0 Original author: Jeffrey Bivin, Lake Zurich High School

91 Row 3 x Column 2 2013 4526 53 -24 0 X -1 x 0 + 0 x 5 = 0 Original author: Jeffrey Bivin, Lake Zurich High School

92 Row 3 x Column 2 2013 4526 53 -24 0 X 22151133 1220 618 -2 0 = Original author: Jeffrey Bivin, Lake Zurich High School

93 Row 3 x Column 3 2013 4526 53 -24 0 X -1 x 1 + 0 x 2 = -1 Original author: Jeffrey Bivin, Lake Zurich High School

94 Row 3 x Column 3 2013 4526 53 -24 0 X -1 x 1 + 0 x 2 = -1 Original author: Jeffrey Bivin, Lake Zurich High School

95 Row 3 x Column 3 2013 4526 53 -24 0 X 22151133 1220 618 -2 0 = Original author: Jeffrey Bivin, Lake Zurich High School

96 Row 3 x Column 4 2013 4526 53 -24 0 X -1 x 3 + 0 x 6 = -3 Original author: Jeffrey Bivin, Lake Zurich High School

97 Row 3 x Column 4 2013 4526 53 -24 0 X -1 x 3 + 0 x 6 = -3 Original author: Jeffrey Bivin, Lake Zurich High School

98 Row 3 x Column 4 2013 4526 53 -24 0 X 22151133 1220 618 -2 0-3 = Original author: Jeffrey Bivin, Lake Zurich High School

99 Matrix Multiplication 2013 4526 53 -24 0 X 22151133 1220 618 -2 0-3 = Original author: Jeffrey Bivin, Lake Zurich High School

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