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					Matrices
What do you already know about a
 matrix?
       Matrices
       A table is an easy way to organize data. A quicker way to

       organize data is to display it in a matrix (plural is matrices).


   A matrix is a rectangular array of numbers or
    expressions, enclosed in brackets.
   The numbers are usually written in rows and
    columns and are enclosed in brackets.
   Matrices are identified by the number of rows
    and columns. The matrix which has 3 rows
    and 2 columns is a 3 x 2 matrix.
   Each item in a matrix is an entry. Capital
    letters are often used to name matrices so
    that they can be referred to easily.
     Matrices
Example 1:                     Country     1900   1998
Did you know that the        Germany       51.6   29
  average number of hours    France        51.7   31.7
  people work per week has
                             Japan         51.7   38.8
  been decreasing during
                             Netherlands    52    30.8
  the last 100 years? The
  table provides data for
                             United         52    37.9
  some countries.            States
                             Britain       52.4   35.6
     Matrices
  Country       1900   1998
                              51.6   29.0
Germany         51.6   29     51.7   31.7 
                                          
France          51.7   31.7
                              51.7   38.8 
Japan           51.7   38.8               
Netherlands     52     30.8   52.0   30.8 
                              52.0   37.9 
                                          
United States   52     37.9
                              52.4
                                     35.6 
                                           
Britain         52.4   35.6
Matrices
       Verify the row and column locations of
        the following entries:
         31.7     Row 2     Column 2
         30.8     Row 4     Column 2
         52.4     Row 6     Column 1
Vertex Matrices
             The coordinates of
             RHMS can be written
             as a vertex matrix.


             2    5   4   2
             4    5   3   2
Matrices
Example 2:
The following tables represent the number of items sold
  during the first two weeks of business. Write the
  following tables as matrices; then, add the two
  matrices to find the grand total.

    Week 1        Small        Medium         Large

Pizza              420           404           352
French Fries       392           320           308

Soft Drinks        187           159           152
Matrices
Week     Small   Mediu   Large
 1                m


Pizza    420      404     352
                                 420 404 352
French   392      320     308    392 320 308
Fries                                        
                                 187 159 152 
                                             
Soft     187      159     152
Drinks
Matrices
Week     Small Medium Large
 2



                              385 315 367
Pizza    385    315    367

French   439    406    302    439 406 302
Fries
                                          
Shakes   220    201    165
                              220 201 165 
                                          
   Matrices

              805 719 719
A +   B = 831 726 610
                         
              407 360 317
                         
     You Try!
After the first quarter           Core Average
   Benchmark, Miss Cline’s four        Benchmark
   cores of math had the
                                       Score
   following average scores:
                                  1    367
1) What is the matrix for this
   data.                          2   363
2) If she wants each student to
   grow 10 points, what is the    3   365
   new matrix?
                                  4   370
You Try!

           Write a vertex
           matrix that
           contains the
           coordinates for
           ΔABC.
Warm Up 1.2
Please solve the following problems
   without the use of a calculator.

1.   5 + (-7)
2.   -2 – (-6)
3.   4 ● (-3)
4.   -18 ÷ (-3)
Warm Up
Write a set of data for which the mean is
 zero. You must include at least 5
 different rational numbers in your list.
Warm Up for 8/11
   -4½       -2¼
    3.6        8
Warm Up for 7/28
Which statements is(are) true? Why?
 abs(x) = abs(-x)

 -abs(x) = abs(-x)

 abs(x) = -abs(x)

 abs(-x) = -abs(x)
Warm Up for 8/10
Simplify:

                  2
 12 – 4 ● 3 + 3       - 11
 7 + 13 - 15

				
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