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IB Revision Lesson 4 285 262 2 = scalar 2 x 282 x 5 2 x 262 x 2 5610 524 = Easy... multiply each element of the matrix by the scalar element one matrix.

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Presentation on theme: "IB Revision Lesson 4 285 262 2 = scalar 2 x 282 x 5 2 x 262 x 2 5610 524 = Easy... multiply each element of the matrix by the scalar element one matrix."— Presentation transcript:

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3 IB Revision Lesson 4 285 262 2 = scalar 2 x 282 x 5 2 x 262 x 2 5610 524 = Easy... multiply each element of the matrix by the scalar element one matrix two matrices

4 IB Revision Lesson 4 CerealBreadPotatoes Paula245 Greg173 Pão deAçucarQuitanda Cereal120110 Bread5560 Potatoes3530 Paula and Greg want to compare the cost of shopping at two supermarkets. Pão deAçucarQuitanda Paula Greg

5 IB Revision Lesson 4 CerealBreadPotatoes Paula245 Greg173 Pão deAçucarQuitanda Cereal120110 Bread5560 Potatoes3530 Paula and Greg want to compare the cost of shopping at two supermarkets. Pão deAçucarQuitanda Paula Greg (2 x 3) x (3 x 2) (2 x 2) The number of columns in the first must equal the number of rows in the second

6 IB Revision Lesson 4 CerealBreadPotatoes Paula245 Greg173 Pão deAçucarQuitanda Cereal120110 Bread5560 Potatoes3530 The element in the product tells us the row of the first and the column of the second Pão deAçucarQuitanda Paula Greg (2 x 120)

7 IB Revision Lesson 4 CerealBreadPotatoes Paula245 Greg173 Pão deAçucarQuitanda Cereal120110 Bread5560 Potatoes3530 Pão deAçucarQuitanda Paula Greg (2 x 120) + (4 x 55) The element in the product tells us the row of the first and the column of the second

8 IB Revision Lesson 4 CerealBreadPotatoes Paula245 Greg173 Pão deAçucarQuitanda Cereal120110 Bread5560 Potatoes3530 Pão deAçucarQuitanda Paula Greg (2 x 120) + (4 x 55) + (5 x 35) = 635 The element in the product tells us the row of the first and the column of the second

9 IB Revision Lesson 4 CerealBreadPotatoes Paula245 Greg173 Pão deAçucarQuitanda Cereal120110 Bread5560 Potatoes3530 Pão deAçucarQuitanda Paula Greg (2 x 120) + (4 x 55) + (5 x 35) = 635 The element in the product tells us the row of the first and the column of the second

10 IB Revision Lesson 4 CerealBreadPotatoes Paula245 Greg173 Pão deAçucarQuitanda Cereal120110 Bread5560 Potatoes3530 Pão deAçucarQuitanda Paula Greg (2 x 120) + (4 x 55) + (5 x 35) = 635 (2 x 110) The element in the product tells us the row of the first and the column of the second

11 IB Revision Lesson 4 CerealBreadPotatoes Paula245 Greg173 Pão deAçucarQuitanda Cereal120110 Bread5560 Potatoes3530 Pão deAçucarQuitanda Paula Greg (2 x 120) + (4 x 55) + (5 x 35) = 635 (2 x 110) + (4 x 60) The element in the product tells us the row of the first and the column of the second

12 IB Revision Lesson 4 CerealBreadPotatoes Paula245 Greg173 Pão deAçucarQuitanda Cereal120110 Bread5560 Potatoes3530 Pão deAçucarQuitanda Paula Greg (2 x 120) + (4 x 55) + (5 x 35) = 635 (2 x 110) + (4 x 60) + (5 x 30) = 610 The element in the product tells us the row of the first and the column of the second

13 IB Revision Lesson 4 CerealBreadPotatoes Paula245 Greg173 Pão deAçucarQuitanda Cereal120110 Bread5560 Potatoes3530 Pão deAçucarQuitanda Paula Greg (2 x 120) + (4 x 55) + (5 x 35) = 635 (2 x 110) + (4 x 60) + (5 x 30) = 610 (1 x 120) + The element in the product tells us the row of the first and the column of the second

14 IB Revision Lesson 4 CerealBreadPotatoes Paula245 Greg173 Pão deAçucarQuitanda Cereal120110 Bread5560 Potatoes3530 Pão deAçucarQuitanda Paula Greg (2 x 120) + (4 x 55) + (5 x 35) = 635 (2 x 110) + (4 x 60) + (5 x 30) = 610 (1 x 120) + (7 x 55) + The element in the product tells us the row of the first and the column of the second

15 IB Revision Lesson 4 CerealBreadPotatoes Paula245 Greg173 Pão deAçucarQuitanda Cereal120110 Bread5560 Potatoes3530 Pão deAçucarQuitanda Paula Greg (2 x 120) + (4 x 55) + (5 x 35) = 635 (2 x 110) + (4 x 60) + (5 x 30) = 610 (1 x 120) + (7 x 55) + (3 x 35) = 610 The element in the product tells us the row of the first and the column of the second

16 IB Revision Lesson 4 CerealBreadPotatoes Paula245 Greg173 Pão deAçucarQuitanda Cereal120110 Bread5560 Potatoes3530 Pão deAçucarQuitanda Paula Greg (2 x 120) + (4 x 55) + (5 x 35) = 635 (2 x 110) + (4 x 60) + (5 x 30) = 610 (1 x 120) + (7 x 55) + (3 x 35) = 610 (1 x 110) The element in the product tells us the row of the first and the column of the second

17 IB Revision Lesson 4 CerealBreadPotatoes Paula245 Greg173 Pão deAçucarQuitanda Cereal120110 Bread5560 Potatoes3530 Pão deAçucarQuitanda Paula Greg (2 x 120) + (4 x 55) + (5 x 35) = 635 (2 x 110) + (4 x 60) + (5 x 30) = 610 (1 x 120) + (7 x 55) + (3 x 35) = 610 (1 x 110) + (7 x 60) + The element in the product tells us the row of the first and the column of the second

18 IB Revision Lesson 4 CerealBreadPotatoes Paula245 Greg173 Pão deAçucarQuitanda Cereal120110 Bread5560 Potatoes3530 Pão deAçucarQuitanda Paula Greg (2 x 120) + (4 x 55) + (5 x 35) = 635 (2 x 110) + (4 x 60) + (5 x 30) = 610 (1 x 120) + (7 x 55) + (3 x 35) = 610 (1 x 110) + (7 x 60) + (3 x 30) = 620 The element in the product tells us the row of the first and the column of the second

19 IB Revision Lesson 4 CerealBreadPotatoes Paula245 Greg173 Pão deAçucarQuitanda Cereal120110 Bread5560 Potatoes3530 Pão deAçucarQuitanda Paula Greg (2 x 120) + (4 x 55) + (5 x 35) = 635 (2 x 110) + (4 x 60) + (5 x 30) = 610 (1 x 120) + (7 x 55) + (3 x 35) = 610 (1 x 110) + (7 x 60) + (3 x 30) = 620 The element in the product tells us the row of the first and the column of the second

20 IB Revision Lesson 4 42 36-4 310 -246 72 = The element in the product tells us the row of the first and the column of the second

21 IB Revision Lesson 4 42 36-4 310 -246 72 = The element in the product tells us the row of the first and the column of the second

22 IB Revision Lesson 4 42 36-4 310 -246 72 = The element in the product tells us the row of the first and the column of the second

23 IB Revision Lesson 4 42 36-4 310 -246 72 = The element in the product tells us the row of the first and the column of the second

24 IB Revision Lesson 4 42 36-4 310 -246 72 = The element in the product tells us the row of the first and the column of the second

25 IB Revision Lesson 4 42 36-4 310 -246 72 = The element in the product tells us the row of the first and the column of the second

26 IB Revision Lesson 4 A -1 is the inverse of A A x A -1 = I ad – bc = determinant (i.e. tells us about the inverse) Det(A) = 0: A -1 does not exist Det(A) = 1: A is singular Det(A) 1: A is non-singular

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