Applied Math 40S February 4, 2009
-
Upload
darren-kuropatwa -
Category
Education
-
view
1.104 -
download
4
description
Transcript of Applied Math 40S February 4, 2009
![Page 1: Applied Math 40S February 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022042713/547d1d955806b5f43f8b4877/html5/thumbnails/1.jpg)
What does this picture have to do with matrices?
Matrix
![Page 2: Applied Math 40S February 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022042713/547d1d955806b5f43f8b4877/html5/thumbnails/2.jpg)
http://ca.youtube.com/watch?v=xyAuNHPsq-g
![Page 3: Applied Math 40S February 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022042713/547d1d955806b5f43f8b4877/html5/thumbnails/3.jpg)
A little warm up ...
![Page 4: Applied Math 40S February 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022042713/547d1d955806b5f43f8b4877/html5/thumbnails/4.jpg)
A little warm up ...
![Page 5: Applied Math 40S February 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022042713/547d1d955806b5f43f8b4877/html5/thumbnails/5.jpg)
http://matwww.ee.tut.fi/cgi-bin/matrix-algebra/MatrixAddition
![Page 6: Applied Math 40S February 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022042713/547d1d955806b5f43f8b4877/html5/thumbnails/6.jpg)
Suppose that you have access to a woodworking shop in the basement of Amos Hall where you make holiday toys for children as an afternoon activity. Lately you have begun to sell your toys at a local shop. You make four different kinds of toys, namely a train (t), an airplane (a), a dragon (d), and a nameplate (n). Each of these can be made very plainly out of pine (p), or with greater detail and ornamentation out of oak (o). Let matrices O, N, and D represent your sales for October, November, and December, as given below.
![Page 7: Applied Math 40S February 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022042713/547d1d955806b5f43f8b4877/html5/thumbnails/7.jpg)
1. State the dimensions of the matrices O, N, and D.
5. Construct a matrix S that contains entries representing the total number of each item sold during the three months.
4. How many of each item were sold for the entire three month period?
2,43. What does O represent?
2. How many oak trains were made in December?
![Page 8: Applied Math 40S February 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022042713/547d1d955806b5f43f8b4877/html5/thumbnails/8.jpg)
Crazy Ken’s Campus Bookstore’s inventory of books consists of the following quantities.
Wacky Wally’s College Bookstore’s inventory of books consists of the following quantities.
Hardcover: textbooks—6340; fiction—2220; nonfiction—1790; reference—1980.
Paperback: textbooks—2050; fiction—3100; nonfiction—1720; reference—2710.
Hardcover: textbooks—5280; fiction—1680; nonfiction—2320; reference—1890.
Paperback: textbooks—1940; fiction—2810; nonfiction—1490; reference—2070.
(b) Represent the inventory of Wacky Wally’s College Bookstore as a matrix.
(a) Represent the inventory of Crazy Ken’s Campus Bookstore as a matrix.
![Page 9: Applied Math 40S February 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022042713/547d1d955806b5f43f8b4877/html5/thumbnails/9.jpg)
(c) Use matrix algebra to determine the total inventory of a new company formed by the merger of Crazy Ken’s Campus Bookstore and Wacky Wally’s College Bookstore.
![Page 10: Applied Math 40S February 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022042713/547d1d955806b5f43f8b4877/html5/thumbnails/10.jpg)
![Page 11: Applied Math 40S February 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022042713/547d1d955806b5f43f8b4877/html5/thumbnails/11.jpg)
Matrices and multiplication... this is called "scalar multiplication" or "multiplication by a scalar".
![Page 12: Applied Math 40S February 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022042713/547d1d955806b5f43f8b4877/html5/thumbnails/12.jpg)
Now you try ...without your calculator
with your calculator
![Page 13: Applied Math 40S February 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022042713/547d1d955806b5f43f8b4877/html5/thumbnails/13.jpg)
Now put it all together ...
![Page 14: Applied Math 40S February 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022042713/547d1d955806b5f43f8b4877/html5/thumbnails/14.jpg)
![Page 15: Applied Math 40S February 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022042713/547d1d955806b5f43f8b4877/html5/thumbnails/15.jpg)
HOMEWORKSolve for x:
Evaluate:
Solve for x:
Solve for x:
Evaluate:
Evaluate: