# 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 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:

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

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

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

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)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

IB Revision Lesson 4

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