Organizing Data Into Matrices Lesson 4 1 Algebra

Organizing Data Into Matrices Lesson 4 -1 Algebra 2 4 -1 Organizing Data Into Matrices

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

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

Algebra 2 Matrix Element- each number in a matrix.

Organizing Data Into Matrices Lesson 4 -1 Algebra 2 Additional Examples Identify each matrix element. K = 3 – 1 – 8 5 1 8 4 9 8 – 4 7 – 5 a. k 12 a. K = b. k 32 3 – 1 – 8 5 1 8 4 9 8 – 4 7 – 5 c. k 23 b. K = d. k 34 3 – 1 – 8 5 1 8 4 9 8 – 4 7 – 5 k 12 is the element in the first row and second column. k 32 is the element in the third row and second column. Element k 12 is – 1. Element k 32 is – 4.

Organizing Data Into Matrices Lesson 4 -1 Algebra 2 Additional Examples (continued) K = 3 – 1 – 8 5 1 8 4 9 8 – 4 7 – 5 a. k 12 c. K = b. k 32 3 – 1 – 8 5 1 8 4 9 8 – 4 7 – 5 c. k 23 d. K = d. k 34 3 – 1 – 8 5 1 8 4 9 8 – 4 7 – 5 k 23 is the element in the second row and third column. k 34 is the element in the third row and the fourth column. Element k 23 is 4. Element k 34 is – 5.

Organizing Data Into Matrices Lesson 4 -1 Algebra 2 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 Ed X X Jo Lew X X X Let each row represent the number of wins and losses and each column represent a student. Ed Jo Lew Wins Losses 5 2 6 1 3 4

Organizing Data Into Matrices Lesson 4 -1 Algebra 2 Additional Examples Refer to the table. a. Write a matrix N to represent the information. Use 2 3 matrix. U. S. Passenger Car Imports And Exports (millions) 1996 1998 2000 Imports 4. 678 5. 185 6. 964 Exports 1. 295 1. 331 1. 402 Source: U. S. Department of Commerce. Each column represents a different year. N = Import Exports 1996 1998 2000 4. 678 1. 295 5. 185 1. 331 6. 964 1. 402 Each row represents imports and exports.

Organizing Data Into Matrices Lesson 4 -1 Algebra 2 Additional Examples (continued) b. Which element represents exports for 2000? U. S. Passenger Car Imports And Exports (millions) 1996 1998 2000 Imports 4. 678 5. 185 6. 964 Exports 1. 295 1. 331 1. 402 Source: U. S. Department of Commerce. Exports are in the second row. The year 2000 is in the third column. Element n 23 represents the number of exports for 2000.

Organizing Data Into Matrices Algebra 2 8 1. Write the dimensions of the matrix. M = 9 – 1 4 0 3 – 5 2 6 1 0 1 2. Identify the elements m 24, m 32, and m 13 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. Deposits Withdrawals A B $450 $475 $370 $289 C D $364 $420 $118 $400

Organizing Data Into Matrices Algebra 2 Homework pg 1 -18 all