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Matrix Addition 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 +.

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Presentation on theme: "Matrix Addition 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 +."— Presentation transcript:

1 Matrix Addition 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 +

2 Simply add terms in "like" positions.
Matrix Addition 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 + Simply add terms in "like" positions.

3 Simply add terms in "like" positions.
Matrix Addition 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 + Simply add terms in "like" positions.

4 Simply add terms in "like" positions.
Matrix Addition 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 + Simply add terms in "like" positions.

5 + Matrix Addition 3 + 5 ==> A(1,1) position 3 2 5 -2 1 4 6 9 5 -1 2
1 4 6 9 5 -1 2 3 7 4 + 3 + 5 ==> A(1,1) position

6 + Matrix Addition 3 + 5 ==> A(1,1) position 3 2 5 -2 1 4 6 9 5 -1 2
1 4 6 9 5 -1 2 3 7 4 + 3 + 5 ==> 8 A(1,1) position

7 + Matrix Addition Now the next term.... 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4
1 4 6 9 5 -1 2 3 7 4 Now the next term.... + 8

8 Matrix Addition 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 + 8 A(1,2) position

9 Matrix Addition 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 + 8 1 A(1,2) position

10 + Matrix Addition continuing A(1,3) position 3 2 5 -2 1 4 6 9 5 -1 2 3
1 4 6 9 5 -1 2 3 7 4 + 8 1 continuing A(1,3) position

11 Matrix Addition 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 + 8 1 7 A(1,3) position

12 + Matrix Addition Now for row 2 A(2,1) position 3 2 5 -2 1 4 6 9 5 -1
1 4 6 9 5 -1 2 3 7 4 + Now for row 2 8 1 7 A(2,1) position

13 + Matrix Addition Now for row 2 A(2,1) position 3 2 5 -2 1 4 6 9 5 -1
1 4 6 9 5 -1 2 3 7 4 + Now for row 2 8 1 7 -2 A(2,1) position

14 + Matrix Addition A(2,2) position 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 8 1 7
1 4 6 9 5 -1 2 3 7 4 + 8 1 7 -2 A(2,2) position

15 + Matrix Addition A(2,2) position 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 8 1 7
1 4 6 9 5 -1 2 3 7 4 + 8 1 7 -2 3 A(2,2) position

16 + Matrix Addition A(2,3) position 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 8 1 7
1 4 6 9 5 -1 2 3 7 4 + 8 1 7 -2 3 A(2,3) position

17 + Matrix Addition A(2,3) position 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 8 1 7
1 4 6 9 5 -1 2 3 7 4 + 8 1 7 -2 3 A(2,3) position

18 + Matrix Addition Now for row 3 A(3,1) position 3 2 5 -2 1 4 6 9 5 -1
1 4 6 9 5 -1 2 3 7 4 + Now for row 3 8 1 7 -2 3 A(3,1) position

19 + Matrix Addition A(3,1) position 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 8 1 7
1 4 6 9 5 -1 2 3 7 4 + 8 1 7 -2 3 6 A(3,1) position

20 + Matrix Addition A(3,2) position 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 8 1 7
1 4 6 9 5 -1 2 3 7 4 + 8 1 7 -2 3 6 A(3,2) position

21 + Matrix Addition A(3,2) position 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 8 1 7
1 4 6 9 5 -1 2 3 7 4 + 8 1 7 -2 3 6 13 A(3,2) position

22 + Matrix Addition A(3,3) position 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 8 1 7
1 4 6 9 5 -1 2 3 7 4 + 8 1 7 -2 3 6 13 A(3,3) position

23 + Matrix Addition A(3,3) position 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 8 1 7
1 4 6 9 5 -1 2 3 7 4 + 8 1 7 -2 3 6 13 A(3,3) position

24 Matrix Addition 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 + 8 1 7 -2 3 6 13

25 Example 2

26 + Matrix Addition 5 1 -4 -2 9 3 4 6 7 8 2 -1 5 -8 3 6 1 -5 -3 7 1 -10
1 -10 12 9 5 -1

27 Matrix Addition & Scalars

28 Matrix Addition & Scalars
3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 4 2 + =

29 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 4 2 + 2 x + 4 x __ __ =

30 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 4 2 + 2 x 3 + 4 x 5 26 = 6 + 20

31 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 4 2 + 2 x 2 + 4 x (-1) 26 = 4 - 4

32 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 4 2 + 2 x 5 + 4 x 2 26 18 = 10 + 8

33 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 4 2 + 2 x (-2) + 4 x 26 18 -4 = -4 + 0

34 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 4 2 + 2 x + 4 x 3 26 18 -4 12 = 0 + 12

35 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 4 2 + 2 x 1 + 4 x 7 26 18 -4 12 30 = 2 + 28

36 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 4 2 + 2 x 4 + 4 x 2 26 18 -4 12 30 16 = 8 + 8

37 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 4 2 + 2 x 6 + 4 x 7 26 18 -4 12 30 16 40 =

38 3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 4 2 + 2 x 9 + 4 x 4 26 18 -4 12 30 16 40 34 =

39 Matrix Addition & Scalars
3 2 5 -2 1 4 6 9 5 -1 2 3 7 4 4 2 + 26 18 -4 12 30 16 40 34 =


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