H 1.1 Matrix Operations Homework: Pgs.17-18 (6-10) Warm Up You and a friend are comparing homework for this weekend. You have to read 33 pages in English, 13 pages in Biology, and 21 pages in World Civilizations. Your friend has to read 16 pages in English, 7 pages in Chemistry, and 11 pages in World Civilizations. a. Arrange the data in a matrix b. If it takes about 2 minutes to read a textbook page, how long will the each of you spend reading each subject? Custard Shop: Flan Crème Brulee

The main ingredients for both desserts are eggs, sugar, milk, and heavy cream. You need to figure out how much of these ingredients you need to keep stocked each day. flan crème brulee 𝑒𝑔𝑔𝑠𝑠𝑢𝑔𝑎𝑟𝑚𝑖𝑙𝑘𝑐𝑟𝑒𝑎𝑚

412

5. 750

0 2.5

After researching other custard shops in similar sized cities you found that you would need to make more batches during the weekend and holidays than during the week. The following matrix has the estimated number of batches for each type of day. week- week- holi- day end day 𝑓𝑙𝑎𝑛𝑏𝑟𝑢𝑙𝑒𝑒

10 15 208 17 19

How much of each ingredient is needed everyday? flan crème brulee 𝑒𝑔𝑔𝑠𝑠𝑢𝑔𝑎𝑟𝑚𝑖𝑙𝑘𝑐𝑟𝑒𝑎𝑚

412

5. 750

0 2.5

X

wday wend hday

= 𝑒𝑔𝑔𝑠𝑠𝑢𝑔𝑎𝑟𝑚𝑖𝑙𝑘𝑐𝑟𝑒𝑎𝑚

Notes http://eeweb.poly.edu/~yao/EE3414/image_filtering.pdf When multiplying a matrix by a constant, distribute to all the elements. When multiplying two matrices, remember columns = rows (the columns of the first must equal the rows of the second) *matrix multiplication is NOT commutative    

Ex. 2  ×3  times  a  3  ×  2   ; the product is a 2  ×  2

[ ] [ ] Ex.1) Compute

  𝑨 =𝟏 −𝟏𝟎 −𝟑𝟓 𝟐

              𝑩 = 𝟏 𝟏 −𝟒𝟓 𝟔 𝟎               𝑪 =𝟐 𝟓−𝟕 𝟗−𝟏 𝟒

 

  a. 3C – 2A b. AB c. BA d. Which matrices cannot be multiplied to each other? Why? Ex.2) Multiply 1 −1 44 −1 32 0 −2

×4 26 13 5