1 / 14

Ch. 4-1 Organizing Data into Matrices

Ch. 4-1 Organizing Data into Matrices. Matrix: a rectangular array of numbers written within brackets. The dimensions of a matrix is determined by the number of horizontal rows and vertical columns. Organizing Data Into Matrices. Write the dimensions of each matrix.

gualtier-meegan
Download Presentation

Ch. 4-1 Organizing Data into Matrices

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Ch. 4-1 Organizing Data into Matrices

  2. Matrix: a rectangular array of numbers written within brackets The dimensions of a matrix is determined by the number of horizontal rows and vertical columns.

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

  4. Check understanding • P. 164 # 1 A, B and C

  5. Matrix Element • Each number in a matrix is a matrix element. • An element is identified by its position in the matrix.

  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 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 Identify each matrix element. 3 –1 –8 5 1 8 4 9 8 –4 7 –5 K = b.k32 c.k23 d.k34 a.k12 Element k12 is –1. Element k32 is –4.

  7. 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 (continued) 3 –1 –8 5 1 8 4 9 8 –4 7 –5 K = c.k23 a.k12 b.k32 d.k34 Element k23 is 4. Element k34 is –5. 4-1

  8. Check understanding • P. 165 #2 A - D

  9. Ed X X Jo X Lew X X X X Organizing Data Into Matrices 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. Ed Jo Lew Wins Losses

  10. Check understanding • P. 165 # 3 A and B

  11. Each column represents a different year. 1980 1990 1995 N = Import Exports 3.116 3.945 4.115 0.617 0.794 0.989 Each row represents imports and exports. Organizing Data Into Matrices Refer to the table. U.S. Passenger Car Imports And Exports (millions) a. Write a matrix N to represent the information. Use 2  3 matrix. Source: U.S. Department of Commerce.

  12. Organizing Data Into Matrices U.S. Passenger Car Imports And Exports (millions) (continued) b. Which element represents exports for 1995? Source: U.S. Department of Commerce. Exports are in the second row. The year 1995 is in the third column. Element n23 represents the number of exports for 1995.

  13. Check understanding 4 • P. 166 # 4 A and B.

  14. Homework • P. 166 # 1 – 25 eoo

More Related