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Herbert J. Bernstein Professor of Mathematics and Computer Science
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90092 MTH 1002 A -- Fundamentals of Mathematics -- Fall 2012
Online Course
Quiz 11

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This is the one of two weekly quizzes for 4 December 2012 for the MTH 1002 course. Please do this quiz after you have completed the rest of assignment 11. If you do not want delayed grading past the end of the semester, you will also have to do the prior quiz as well at the same time. It should take between one half hour and 2 1/2 hours to complete if you are well prepared, longer if not.

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  1. Carefully and in detail explain Guass-Jordan Elimination.

  2. Solve the following simultaneous linear equations using only elementary row operations:

    Exchange 2 equations (Ri <-> Rj)
    Multiply one equation by a non-zero constant (k•Ri -> Ri)
    Add a constant multiple of one equation to another equation (k•Rj + Ri -> Ri)

    2•x1 - 3•x2 = -2
    -4•x1 + 6•x2 = 7

    Show your work.

  3. Solve the following simultaneous linear equations using only elementary row operations:

    Exchange 2 equations (Ri <-> Rj)
    Multiply one equation by a non-zero constant (k•Ri -> Ri)
    Add a constant multiple of one equation to another equation (k•Rj + Ri -> Ri)

    3•x1 - x2 = -5
    x1 + 3•x2 = 5

    Show your work.

  4. Carefully and in detail explain what you learned about using matrices to solve a system of equations in the Khan Academy lecture, giving a worked example from the Khan Academy videos.

  5. This is the last quiz before the final. To help you review, list the formulae to add, subtract, multiply and divide fractions.

  6. This is the last quiz before the final. To help you review, give the formula for the roots of a quadatic equation.

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Updated 30 November 2012.