The Campus Bookstore's inventory of books is as follows. Hardcover: textbooks, 5230; fiction, 1645; nonfiction, 2291; reference, 1663 Paperback: fiction, 2738; nonfiction, 1597; reference, 2051; textbooks, 1748 The College Bookstore's inventory of books is as follows. Hardcover: textbooks, 6265; fiction, 2410; nonfiction, 1894; reference, 1639 Paperback: fiction, 3476; nonfiction, 1638; reference, 2526; textbooks, 2479 (a) Represent Campus's inventory as a matrix A. Textbooks Fiction Nonfiction A = (b) Represent College's inventory as a matrix B. B = Hardcover Paperback C = Hardcover Paperback Hardcover Textbooks Fiction Nonfiction (c) Suppose that the two companies decide to merge. Write a matrix C that represents the total inventory of the newly amalgamated company. Textbooks Fiction Nonfiction Reference Paperback Reference Reference

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The Campus Bookstore's inventory of books is as follows:

- **Hardcover:** 
  - Textbooks: 5230
  - Fiction: 1645
  - Nonfiction: 2291
  - Reference: 1663

- **Paperback:**
  - Fiction: 2738
  - Nonfiction: 1597
  - Reference: 2051
  - Textbooks: 1748

The College Bookstore's inventory of books is as follows:

- **Hardcover:** 
  - Textbooks: 6265
  - Fiction: 2410
  - Nonfiction: 1894
  - Reference: 1639

- **Paperback:**
  - Fiction: 3476
  - Nonfiction: 1638
  - Reference: 2526
  - Textbooks: 2479

### (a) Represent Campus's inventory as a matrix A.

Matrix A:
```
           | Textbooks | Fiction | Nonfiction | Reference
Hardcover  |           |         |            |
Paperback  |           |         |            |
```

### (b) Represent College's inventory as a matrix B.

Matrix 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.

Matrix C:
```
           | Textbooks | Fiction | Nonfiction | Reference
Hardcover  |           |         |            |
Paperback  |           |         |            |
```

Each table is laid out as a matrix with two rows representing hardcover and paperback books and four columns representing different categories of books: textbooks, fiction, nonfiction, and reference. You are expected to fill in these matrices with the provided inventory data.
Transcribed Image Text:The Campus Bookstore's inventory of books is as follows: - **Hardcover:** - Textbooks: 5230 - Fiction: 1645 - Nonfiction: 2291 - Reference: 1663 - **Paperback:** - Fiction: 2738 - Nonfiction: 1597 - Reference: 2051 - Textbooks: 1748 The College Bookstore's inventory of books is as follows: - **Hardcover:** - Textbooks: 6265 - Fiction: 2410 - Nonfiction: 1894 - Reference: 1639 - **Paperback:** - Fiction: 3476 - Nonfiction: 1638 - Reference: 2526 - Textbooks: 2479 ### (a) Represent Campus's inventory as a matrix A. Matrix A: ``` | Textbooks | Fiction | Nonfiction | Reference Hardcover | | | | Paperback | | | | ``` ### (b) Represent College's inventory as a matrix B. Matrix 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. Matrix C: ``` | Textbooks | Fiction | Nonfiction | Reference Hardcover | | | | Paperback | | | | ``` Each table is laid out as a matrix with two rows representing hardcover and paperback books and four columns representing different categories of books: textbooks, fiction, nonfiction, and reference. You are expected to fill in these matrices with the provided inventory data.
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