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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

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Matrices

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  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

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