Organizing Data Into Matrices

1. Organizing Data Into Matrices Lesson 4-1 4-1 Organizing Data Into Matrices

2. Organizing Data Into Matrices Matrix- a rectangular array of numbers written within brackets. Matrix Element- each number in a matrix.

3. Organizing Data Into Matrices Lesson 4-1 Additional Examples Write the dimensions of each matrix. 7 –4 12 9 The matrix has 2 rows and 2 columns and is therefore a 2  2 matrix. a. The matrix has 1 row and 3 columns and is therefore a 1  3 matrix. b. 0 6 15

4. Matrix Element- each number in a matrix.

5. 3 –1 –8 5 1 8 4 9 8 –4 7 –5 3 –1 –8 5 1 8 4 9 8 –4 7 –5 a. K = b. K = k12 is the element in the first row and second column. k32 is the element in the third row and second column. Organizing Data Into Matrices Lesson 4-1 Additional Examples Identify each matrix element. 3 –1 –8 5 1 8 4 9 8 –4 7 –5 K = a.k12 b.k32 c.k23 d.k34 Element k12 is –1. Element k32 is –4.

6. 3 –1 –8 5 1 8 4 9 8 –4 7 –5 3 –1 –8 5 1 8 4 9 8 –4 7 –5 c. K = d. K = k23 is the element in the second row and third column. k34 is the element in the third row and the fourth column. Organizing Data Into Matrices Lesson 4-1 Additional Examples (continued) 3 –1 –8 5 1 8 4 9 8 –4 7 –5 K = a.k12 b.k32 c.k23 d.k34 Element k23 is 4. Element k34 is –5.

7. Ed X X Jo X Lew X X X X Ed Jo Lew Wins Losses 5 6 3 2 1 4 Organizing Data Into Matrices Lesson 4-1 Additional Examples Three students kept track of the games they won and lost in a chess competition. They showed their results in a chart. Write a 2  3 matrix to show the data. = Win X = Loss Let each row represent the number of wins and losses and each column represent a student.

8. Each column represents a different year. 1996 1998 2000 N = Import Exports 4.678 5.185 6.964 1.295 1.331 1.402 Each row represents imports and exports. Organizing Data Into Matrices Lesson 4-1 Additional Examples Refer to the table. U.S. Passenger Car Imports And Exports (millions) 199619982000 Imports 4.678 5.185 6.964 Exports 1.295 1.331 1.402 a. Write a matrix N to represent the information. Use 2  3 matrix. Source: U.S. Department of Commerce.

9. Organizing Data Into Matrices Lesson 4-1 Additional Examples (continued) U.S. Passenger Car Imports And Exports (millions) 199619982000 Imports 4.678 5.185 6.964 Exports 1.295 1.331 1.402 b. Which element represents exports for 2000? Source: U.S. Department of Commerce. Exports are in the second row. The year 2000 is in the third column. Element n23 represents the number of exports for 2000.

10. Deposits Withdrawals A $450 $370 B $475 $289 C $364 $118 D $420 $400 Organizing Data Into Matrices 8 4 0 1 9 3 –5 0 –1 2 6 1 1. Write the dimensions of the matrix. M = 2. Identify the elements m24, m32, and m13 of the matrix M in question 1. 3. The table shows the amounts of the deposits and withdrawals for the checking accounts of four bank customers. Show the data in a 2  4 matrix. Label the rows and columns.

11. Organizing Data Into Matrices Homework pg 1-18 all