2. Chapter 4: Matrices Lesson 1: using Matrices to Represent Data  Objectives: –Represent mathematical and real-world data in a matrix. –Find sums and differences of matrices and the scalar product of a number and a matrix.

3. MATRIX: A rectangular arrangement of numbers in rows and columns. The ORDER of a matrix is the number of the rows and columns. The ENTRIES are the numbers in the matrix. rows columns This order of this matrix is a 2 x 3.

4. 3 x 3 3 x 5 2 x 2 4 x 1 1 x 4 (or square matrix) (Also called a row matrix) (or square matrix) (Also called a column matrix)

5. To add two matrices, they must have the same order. To add, you simply add corresponding entries.

6. = = 7745 075 7

7. To subtract two matrices, they must have the same order. You simply subtract corresponding entries.

8. = 5-2 -4-13-8 8-30-(-1)-7-1 1-(-4) 2-0 0-7 = 2-5 5 1 -8 53-7

9. In matrix algebra, a real number is often called a SCALAR. To multiply a matrix by a scalar, you multiply each entry in the matrix by that scalar.

10. -2 6 -33 -2(-3) -5 -2(6)-2(-5) -2(3)6-6 -12 10

11. Assignment 1 Ch.4.1 pg.221 # 6 to 9, 12 to 14, and 19 to 23. Ch.4.1 pg.221 # 6 to 9, 12 to 14, and 19 to 23. Due date: Sept. 30 th, 2009Due date: Sept. 30 th, 2009 To: Mr. Mohammed AkourTo: Mr. Mohammed Akour By email: makour@alsschools.comBy email: makour@alsschools.com

12. This presentation edited by Mr. Mohammed Akour Mr Wassim Fakih This powerpoint was kindly donated to www.worldofteaching.com www.worldofteaching.com http://www.worldofteaching.comhttp://www.worldofteaching.com is home to over a thousand powerpoints submitted by teachers. This is a completely free site and requires no registration. Please visit and I hope it will help in your teaching.