he Campus Bookstore's inventory of books is as follows. Hardcover: textbooks, 5076; fiction, 1596; nonfiction, 2039; reference, 1864 Paperback: fiction, 2653; nonfiction, 1491; reference, 2275; textbooks, 1958 The College Bookstore's inventory of books is as follows. Hardcover: textbooks, 6340; fiction, 2403; nonfiction, 1728; reference, 1532 Paperback: fiction, 3020; nonfiction, 1523; reference, 2974; textbooks, 2270 (a) Represent Campus's inventory as a matrix A. A = Textbooks Fiction Nonfiction Reference Hardcover Paperback (b) Represent College's inventory as a matrix B. B = Textbooks Fiction Nonfiction Reference Hardcover Paperback (c) Suppose that the two companies decide to merge. Write a matrix C that represents the total inventory of the newly amalgamated company. C = Textbooks Fiction Nonfiction Reference Hardcover Paperback
he Campus Bookstore's inventory of books is as follows. Hardcover: textbooks, 5076; fiction, 1596; nonfiction, 2039; reference, 1864 Paperback: fiction, 2653; nonfiction, 1491; reference, 2275; textbooks, 1958 The College Bookstore's inventory of books is as follows. Hardcover: textbooks, 6340; fiction, 2403; nonfiction, 1728; reference, 1532 Paperback: fiction, 3020; nonfiction, 1523; reference, 2974; textbooks, 2270 (a) Represent Campus's inventory as a matrix A. A = Textbooks Fiction Nonfiction Reference Hardcover Paperback (b) Represent College's inventory as a matrix B. B = Textbooks Fiction Nonfiction Reference Hardcover Paperback (c) Suppose that the two companies decide to merge. Write a matrix C that represents the total inventory of the newly amalgamated company. C = Textbooks Fiction Nonfiction Reference Hardcover Paperback
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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The Campus Bookstore's inventory of books is as follows.
Hardcover: textbooks, 5076; fiction, 1596; nonfiction, 2039; reference, 1864
Paperback: fiction, 2653; nonfiction, 1491; reference, 2275; textbooks, 1958
Paperback: fiction, 2653; nonfiction, 1491; reference, 2275; textbooks, 1958
The College Bookstore's inventory of books is as follows.
Hardcover: textbooks, 6340; fiction, 2403; nonfiction, 1728; reference, 1532
Paperback: fiction, 3020; nonfiction, 1523; reference, 2974; textbooks, 2270
Paperback: fiction, 3020; nonfiction, 1523; reference, 2974; textbooks, 2270
(a) Represent Campus's inventory as a matrix A.
(b) Represent College's inventory as a matrix B.
(c) Suppose that the two companies decide to merge. Write a matrix C that represents the total inventory of the newly amalgamated company.
A = |
||||||||
| Textbooks | Fiction | Nonfiction | Reference | |||||
| Hardcover |
|
|
||||||
| Paperback |
(b) Represent College's inventory as a matrix B.
B = |
||||||||
| Textbooks | Fiction | Nonfiction | Reference | |||||
| Hardcover |
|
|
||||||
| Paperback |
(c) Suppose that the two companies decide to merge. Write a matrix C that represents the total inventory of the newly amalgamated company.
C = |
||||||||
| Textbooks | Fiction | Nonfiction | Reference | |||||
| Hardcover |
|
|
||||||
| Paperback |
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