College Algebra MATH 1314/1414

David Katz, instructor

Section by Section List of Test Topics for Exam #4 (Chapters 6) from College Algebra by Robert Blitzer (4th edition)

The exam will consist of 10 multiple-choice questions from this list of topics from your homework sections.

  1. (6.1) Write a system of linear equations as an augmented matrix
  2. (6.1) Write an augmented matrix as a system of linear equations
  3. (6.1) Perform row operations on a matrix
  4. (6.1) Recognize when a matrix is in reduced row echelon form
  5. (6.1) Use matrices to solve systems through Gauss-Jordan elimination by putting the matrix in reduced row echelon form
  6. (6.2) Interpret the reduced row echelon form of a matrix to decide if a system is inconsistent (no solution)
  7. (6.2) Interpret the reduced row echelon form of a matrix to decide if a system is dependent (many solutions)
  8. (6.2) Write an appropriate set of formulas to describe the solution set for a dependent system
  9. (6.5) Evaluate the determinant of 2x2 matrices
  10. (6.5) Solve a system of two equations in two variables by Cramer’s Rule
  11. (6.5) Know when the determinant of the coefficient matrix = 0, the system is singular.
  12. (6.5) Know that singular systems cannot be solved by Cramer’s Rule; such systems may be inconsistent or dependent

 

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