College Algebra Diagnostic Quiz - 4
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1.  Multiply the following matrices:



What number appears in the 2nd row, 1st column of your result? 
 
 

  8 
 –6 
  3 
  –10
 
2.  Add the following matrices: 
 
 




What number appears in the 1st row, 3rd column of your result?
 
 

0
–5
  –3
2
 
3.  Multiply the following matrices:



What number appears in the 1st row, 1st column of your result?
 
 

  –4
  4
  48
–16
 
4.  Given the matrices shown below
 
 
  A = 
   B = 
C = 
 D = 

Which of the following operations is NOT possible:
 
 

  A x D
  B x D
  C²
  C x D
 
5.  Given the following:
 
 

  = 




 Find the value of X.
 
 

  0
  1
  5
  –8
 
6.  Given the following:
 
 
  A  = 
   B  = 

Find X, given that 2X – 3A = B.
 
 

 
7.   Given: 

                                     X + Y +  Z =   2
                                   4X + 5Y        =   5
                                              Y – 3Z = –3
 

       Also, the inverse of:     is: 

     Now, find the value of Y:
 
 

  5 
  33
  –3
  12
 
8.  Assume that M is any square matrix and I is the corresponding identity matrix. 

     Which one of the following statements is FALSE:
 

  I x M  =  M
  I x I  =  I
 
9.  Find the inverse of the following matrix:


 
10.  Find the determinant:


  96
  –13
  –71
  24
 
11.  Find the determinant:


  –12
  206
  144
  –81
 
12.  Find the determinant:


  2X–12
  15X²–60X
  8X–1
  2X²-2
 
13.  Find the fourth term of the sequence given by:
  14 
  12a + 2 
  12n + 2
  38
 
14.  Find the third term of the sequence given by:


  13
  25
  144
  9n + 2
 
15.  Find the correct expression for the nth term of the following sequence:

1,   –3  , 9,   –27,   81,  ...


 
16.  Find the fourth term of the sequence given by:


  11
  48
  30
  87
 
17.  Find the third term of the sequence given by:


  9 
  81
  121
  300
 
18.  Find the value of the following:


  1/2
  1/999,000
  1/2000
  Undefined
 
19.  Find the value of the following:


  1/6
  2/3
  13/18
  49/36
 
20.  Find the value of the following: 


  170
  626
  30
  212
 

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