# Slide 1 - Brookwood High School

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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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