1 / 18

Matrices

Matrices. Chapter 13-2. Matrices. Matrix- A rectangular arrangement of numbers in rows and columns. Matrices. Element- One of the numbers in the matrix Dimensions- How we label each element in a matrices. Matrices. Rowing!. Matrices. Rows- Much like the rowers, it goes horizontally

laasya
Download Presentation

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. Matrices Chapter 13-2

  2. Matrices • Matrix- • A rectangular arrangement of numbers in rows and columns

  3. Matrices • Element- • One of the numbers in the matrix • Dimensions- • How we label each element in a matrices

  4. Matrices Rowing!

  5. Matrices • Rows- • Much like the rowers, it goes horizontally • They’re numbered from top to bottom 1 2 Rows 3

  6. Matrices This is the Parthenon from Athens, Greece What are these called? Columns

  7. Matrices 3 • Columns- • Just like on the Parthenon, the columns go up and down • They are labeled from left to right 1 2

  8. Matrices We label the matrix using the number of rows by the number of columns In this case we have 3 rows and 3 columns Rows-by-Columns 3-by-3

  9. Matrices We then can use the rows and columns to label the circled element It’s in Row 3, Column 1 1 3

  10. Matrices What are the dimensions of these matrices 1. 2. 3 5 -3 4 5 1 3 5 -3 4 5 1 3. 3 5 -3 0 3 5 -3 4 5 1 5. 4. 3 5 -3 4 5 1 6 -2 -7 0 2 9

  11. Matrices What are the dimensions of these matrices 1. 2. 3 5 -3 4 5 1 3 5 -3 4 5 1 2 by 3 3 by 2 3. 3 5 -3 0 3 5 -3 4 5 1 6 by 1 5. 1 by 4 4. 3 5 -3 4 5 1 6 -2 -7 0 2 9 3 by 4

  12. Matrices Where is the circled element located? 1. 2. 3 5 -3 4 5 1 3 5 -3 4 5 1 3. 3 5 -3 0 3 5 -3 4 5 1 5. 4. 3 5 -3 4 5 1 6 -2 -7 0 2 9

  13. Matrices Where is the circled element located? 1. 2. 3 5 -3 4 5 1 3 5 -3 4 5 1 R1, C3 R1, C2 3. 3 5 -3 0 3 5 -3 4 5 1 R4, C1 5. R1, C2 4. 3 5 -3 4 5 1 6 -2 -7 0 2 9 R2, C3

  14. Matrices We can do other things with matrices We’re able to add and subtract them Both matrices have to have the same dimensions Both of these are 2 by 3 3 5 -3 4 5 1 4 1 2 -4 2 -3 A = B =

  15. Matrices Find the sum of A and B Add each element with corresponding one from the other matrix 3 5 -3 4 5 1 4 1 2 -4 2 -3 7 6 -1 0 7 -2 + =

  16. Matrices Can you add these matrices? No! They aren’t the same dimensions 3 5 -3 4 5 1 3 5 -3 4 5 1 A = B =

  17. Matrices We can also multiply one matrix What’s 2A? You must multiply each element by 2 6 10 -6 8 10 2 3 5 -3 4 5 1 2 = A =

  18. Matrices Use the following matrices to answer the problems: A. B. C. • 4A • -2B • 3C • 2A – 3C

More Related