MATH JEOPARDY by 41lKA2OV

VIEWS: 7 PAGES: 27

									      Writ review

Lesson: “For you enjoyment”
Writ Review
WHAT’S OUR                         ROW REDUCE,
             WHAT’S    ENTER THE                    REVERSE
 VECTOR,                             REUSE,
 VICTOR?     UP DOT?    MATRIX       RECYCLE
                                                    IN-VERSE



250          250        250          250             250

500          500        500          500             500

750          750        750          750             750

1000 1000 1000 1000 1000
                                         Final Jeopardy
What’s our vector? Example

They are the two things a given vector
possesses, which make it unique.


What are “direction” and “magnitude?”




                                     RETURN
    What’s our vector? for 250
                                 
It is the graphical solution of a  b where:
                 
                 a  3,1
                 
                 b  1, 4


    What is              
               a b        b
                      
                      a
                                         RETURN
    What’s our vector? for 500
                                    
It is the algebraic solution of a  2b where:
                 
                 a  2,2
                 
                 b  1,3

                
    What is a  2b  0,4


                                         RETURN
It’s the real name of this former Los
Angeles Laker basketball player and
legend pictured in the video.

Who is Kareem Abdul Jabar?


   http://www.youtube.com/watch?v=fVq4_HhBK8Y
                                                RETURN
   What’s our vector? for 1000

Determine the constants c1 and c2 that result
                                   
from the vector decomposition of p 0 in
                      and 
terms of the vectors v 1    v2



What are        c1  1
                c2  5
                         2
                                        RETURN
      What’s up, Dot? example

Compute (if possible), 9,6,3  2,1,3



What is 21?




                                        RETURN
      What’s up, Dot? for 250

It’s the name we use to describe the following
calculation: 6 4,2


What is a scalar multiplication?




                                        RETURN
       What’s up, Dot? for 500

Compute (if possible), 3,1  (6 1,3 )



 What is 36?




                                        RETURN
      What’s up, Dot? for 750
                        
Compute (if possible), u  v 3 given that:
                
                u  1,1,0
                
                v  0,1,0

What is -3?




                                             RETURN
      What’s up, Dot? for 1000
                              
Compute (if possible),  0.5 b  a given that:
                 
                 a  3,0.50
                 
                 b  0.50,2

What is -0.25?




                                           RETURN
      Enter the Matrix for 250

Given,
         2 3                     2
                    2 1 
    A   4 1    B         C  1 
             
                    6  3
                          
                                   
         1 3
                                0 
                                   

Compute AB
          22  7 
          14 1 
What is             ?
          16  10
                                       RETURN
      Enter the Matrix for 500

Given,
         2 3                     2
                    2 1 
    A   4 1    B         C  1 
             
                    6  3
                          
                                   
         1 3
                                0 
                                   

Compute CA

What is DNE?
                                         RETURN
         Enter the Matrix for 750

Considering the following the matrix
multiplication,
    2 1 4  1 3  2  s       27  43
    3  2 4  4 9 1    13  21 32 
                                   
    2 3 7  2  3 10    4 0
                                77 
                                        

Find s
What is -2?
                                        RETURN
     Enter the Matrix for 1000

Considering the following the matrix
multiplication,
     2 1 4  1 3  2  14 27  43
     3  2 4  4 9 1    13  21 32 
                                    
     2 3 7  2 h 10    4 0
                                 77 
                                         

Find h
What is -3?
                                             RETURN
Row Reduce, Reuse, & Recycle example

When performing row reduction, they are the
3 basic operations that can be applied to a
system of equations [Book use authorized!].
What are:
1. Multiply any equation by a non-zero constant?
2. Interchange any two equations (change their order)?
3. Add (or subtract) a multiple of any equation to (or from)
   any other equation and replace one of the equations
   involved in this operation with the resulting equation?

[Note: Pg. 204]                                     RETURN
Row Reduce, Reuse, & Recycle for 250
Convert the following to augmented-matrix
form,
       1      8
         x  y  2 z  32
       2      7
        3 y  7 x  9 z  17
             7
       4x  z  5  5 y
             4

               1 / 2 8 / 7  2 32 
 What is        7 3
                            9  17
                                   
                4
                     5 7/4 5       RETURN
Row Reduce, Reuse, & Recycle for 500
Convert the following to matrix-vector form,
                1      8
                  x  y  2 z  32
                2      7
                 3 y  7 x  9 z  17
                      7
                4x  z  5  5 y
                      4

 What is 1 / 2 8 / 7  2   x   32 
          7 3            y    17
                       9   
                                        
          4
                5 7 / 4  z   5 
                                        RETURN
Row Reduce, Reuse, & Recycle for 750

Solve using row reduction,
                      x1  x 2  0
                      x1  x 2  4


 What is   x1  2 ?
           x2  2
                                     RETURN
Row Reduce, Reuse, Recycle for 1000

Solve using row reduction,
                    x1  x 2  2
                    2 x1  2 x 2  5


What is   x1  x 2  2   ?
          0 1
          No  solution                RETURN
      Reverse Inverse for 250
It is the det(B) given,

                    2 0.1 
                 B        
                    3 0.75

 What is 1.80?


                                RETURN
       Reverse Inverse for 500
                      ;




Find A-1 given,
                    2 1
                  A   
                    1 3


               3 / 5  1 / 5
What is A-1 =               ?
               1 / 5 2 / 5 

                                  RETURN
       Reverse Inverse for 750
Find C-1 given,
                0.75  2.25
              C           
                 2     6 



 What is DNE? Det(C) = 0


                                 RETURN
        Reverse Inverse for 1000
                 1  1 2
Given   D-1   =       6 3
                 15     

Find D.

         3  2
What is          ?
         6  1 

                                   RETURN
             FINAL JEOPARDY

Find a Matrix J, given det(J) = -5.

What is “anything?” [As long as it works!]

								
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