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

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Presentation transcript:

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

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.

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.

+ 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

+ 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

+ 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

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

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

+ 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

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

+ 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

+ 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

+ 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

+ 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

+ 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

+ 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

+ 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

+ 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

+ 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

+ 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

+ 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

+ 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

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

Example 2

+ 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

Matrix Addition & Scalars

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

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

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

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

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

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

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

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

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

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 = 12 + 28

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 = 18 + 16

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 =