COLLEGE ALGEBRA
MATH 110
Southwestern   
Adventist University 
 
   Distance Education Lawrence E. Turner, Jr., Ph.D.  


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SAMPLE TEST QUESTIONS

1999

(Barnett, Ziegler, and Byleen)


Chapter 7    Matrices and Determinants

7.1     matrices: basic operations

97.     Perform the following matrix operations. If the operation is not possible, then state so and give the reason.
  1. add
    (4)
  2. add
    (4)
  3. subtract
    (4)
  4. matrix multiply
    (5)
  5. matrix multiply
    (5)
  6. matrix multiply
    (5)
  7. matrix multiply
    (5)


7.2     inverse of a square matrix

98.     Show that the following matrices are inverses:
(5)


99.     Find the inverse of the following matrices. If an inverse does not exist, then so state and explain.
  1.  
    (5)
  2.  
    (5)
  3.  
    (5)


7.3     matrix equations and systems of linear equations

100.     The following set of simultaneous linear equations:

  1. Write this out as a matrix equation.
    (5)
  2. The matrix of coefficients (if written correctly above) has the inverse:

    use this to solve for the variables.
    (5)


7.4    determinants

101.     For the matrix:
  1. what is the minor of 1?
    (2)
  2. what is the cofactor of 2?
    (3)

102.     Evaluate the following determinants:
  1.  
    (5)
  2.  
    (10)


7.2     properties of determinants

103.     Evaluate the following determinants:
  1.  
    (10)
  2.  
    (5)
  3.  
    (5)


7.6     cramer's rule

104.     For the following system of simultaneous linear equations:

  1. write out the solution for each of the variables in terms of determinants (do not solve them)
    (10)
  2. solve the above system for x.
    (10)
  
© 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008 by Lawrence Turner