1. 4.1 Exploring Data: Matrix Operations ©2001 by R. Villar All Rights Reserved

2. Exploring Data: Matrix Operations Matrix: rectangular arrangement of numbers into rows and columns. This is a 2 X 3 matrix (Two rows, 3 columns) The numbers in the matrix are called entries. This is a 3 X 3 matrix (Three rows, 3 columns)

3. Arrange the following data into a matrix. The length and width of various football fields are given: Arena85´ by 198´ College 160´ by 360´ US Pro 160´ by 360´ Canadian 195´ by 450´ 85198

4. Arrange the following data into a matrix. The length and width of various football fields are given: Arena85´ by 19´ College 160´ by 360´ US Pro 160´ by 360´ Canadian 195´ by 450´ 85198 160360

5. Arrange the following data into a matrix. The length and width of various football fields are given: Arena85´ by 19´ College 160´ by 360´ US Pro 160´ by 360´ Canadian 195´ by 450´ 85198 160360 195450

6. Ex. Find the sum of the matrices: 2–1 + 6 10 3 6–1–6 The solution will be another matrix. Add corresponding entries.

7. Ex. Find the sum of the matrices: 2–1 + 6 10 3 6–1–6 The solution will be another matrix. Add corresponding entries.

8. Ex. Find the sum of the matrices: 2–1 + 6 10 3 6–1–6 The solution will be another matrix. Add corresponding entries. 8

9. Ex. Find the sum of the matrices: 2–1 + 6 10 3 6–1–6 The solution will be another matrix. Add corresponding entries. 8

10. Ex. Find the sum of the matrices: 2–1 + 6 10 3 6–1–6 The solution will be another matrix. Add corresponding entries. 89

11. Ex. Find the sum of the matrices: 2–1 + 6 10 3 6–1–6 The solution will be another matrix. Add corresponding entries. 89

12. Ex. Find the sum of the matrices: 2–1 + 6 10 3 6–1–6 The solution will be another matrix. Add corresponding entries. 89 2

13. Ex. Find the sum of the matrices: 2–1 + 6 10 3 6–1–6 The solution will be another matrix. Add corresponding entries. 89 2

14. Ex. Find the sum of the matrices: 2–1 + 6 10 3 6–1–6 The solution will be another matrix. Add corresponding entries. 89 20

15. Ex. Find the difference of the matrices: –1 0–4 –6 3 2 2 3 0 –1–1 4

16. –7

17. Ex. Find the difference of the matrices: –1 0–4 –6 3 2 2 3 0 –1–1 4 –7 –3

18. Ex. Find the difference of the matrices: –1 0–4 –6 3 2 2 3 0 –1–1 4 –7 –3–6

19. Ex. Find the difference of the matrices: –1 0–4 –6 3 2 2 3 0 –1–1 4 –7 –3–6 3

20. Ex. Find the difference of the matrices: –1 0–4 –6 3 2 2 3 0 –1–1 4 –7 –3–6 3 4

21. Ex. Find the difference of the matrices: –1 0–4 –6 3 2 2 3 0 –1–1 4 –7 –3–6 3 4 –4

22. In matrix algebra, a real number is called a scalar. A matrix may be multiplied by a scalar by multiplying each entry in the matrix by the scalar (similar to the distributive property). Example: Multiply each entry by the scalar.