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					  Matrices
Review Game!
 I will stop looking back with regrets or looking
 forward with fear and give the best I have today."
 ~Anonymous
1. What are the dimensions of
2. Give the entry in c22 and a23
           C and B?
        6. (1/2)C
         3. A -
        5. 2A+ B
          4. -2C

                                     1
                            51 1 1
                                   8 5 
                               4 0
                             2x3 
                                  04 22
                            1 3  
                           16 9 10 
                                2    5
                                       
                              1 35 3 
                                  2  
                             3 0 15 
                           1213x3 6
                                   8
                            
                                   2 
                                     6
                                       
Find x and y.

 1.

2.


                x=7
                  -8
                y=3
                  4
                       8   5 
1. BA   10   3. CD   16
                           4 
2. BC 4 2   4. AC Can’t be
                       16 4 
                              
                      done
 Give the identity matrix for 4x4.
Give the identity matrix for aa 2x2.
             1 0     0 0
             0  1   0 
           I   1   0 0
                       
         I  0       1 0 
             0 0     1
                          
             0 0     0 1
1. det(A)= -1 4 3. det(C)= -40
                  2
     Evaluate.       0
          1 3  34. C-1=
 2. A-1=  2 6
         1   4  1 
               5
          2     5    10   0.5    0.8  0.1 
          1  1    1    0.25 0.25 0.25 
          4      4   4                     
         1   13    1   0.25 0.65 0.05 
                                             
          4
                20      
                      20 
 1. Write the matrix equation
     2. Solve the system

 1 1  x  8
2 1  y    1
                      (-7, 15)
       
   1. Write the matrix equation
      2. Solve the system
 1 1 1  x   14 
 4 1 5   y    22   (4, 3, -7)
                   
 2 2 3   z   35 
                   
             3x + 5y = –3
             10y – 2z = 2
                    x = –z

   1. Write the matrix equation
      2. Solve the system
3 5 0   x   3 
0 10 2  y    2    (-2, 0.6, 2)
                                    
          
1 0 1   z   0 
                     2, 3 , 2
                                 5
Susan babysat for 8 hours and worked at Taco Bell
for 3 hours. She made $58. When she babysat for 2
hours and worked at Taco Bell for 5 hours, she made
$40. How much does Susan make per hour baby-
sitting and working at Taco Bell?
  1. Write a system of equations to model the
  situation.           8x + 3y = 58
                      2x + 5y = 40
  2. Solve the system using matrix equations.

                      $5 Babysitting
                      $6 Taco Bell
A nurse is mixing a 3% saline solution and an 8%
saline solution to get 2 liters of a 5% saline solution.
How many liters of each solution must be combined?

1. Write a system of equations to model the
situation.
                     0.03x + 0.08y = 0.1
                         x + y = 2
2. Solve the system using matrix equations.

                     1.2 L of 3% solution
                     0.8 L of 8% solution
When working with matrices,
don’t forget…



           And a…

       Row x Column

				
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posted:3/21/2013
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