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If the Determinant is 0, what all is true? matrices fun!

  1. Dec 5, 2005 #1
    Hello everyone I'm stuck on this problem, how its wrong, i got parts a and c, but b i can't get. Hre is what it says:

    Consider the following general matrix equation:
    [a1 a2] =
    |m11 m12| * [x1 x2]
    |m21 m22|

    which can also be written as A = MX
    Determinant of M = m11m22 - m12m21

    A. given any X there is one and only one A which will satisfy the equation.
    B. given any A there is one and only one X which will satisfy the equation.
    C. there is no value of Xwhich satisfies the equation when A =0 .
    D. some values of A will have no values of X which will satisfy the equation.
    E. some values of A (such as A=0) will allow more than one X to satisfy the equation.

    I said for sure A, and B are wrong because they are what happens if Det(M) is not equal to 0. so it has to be a combination of C,D, and E.

    I tried like all combinations of C,D,and E, and nothing works!
     
  2. jcsd
  3. Dec 6, 2005 #2

    CarlB

    User Avatar
    Science Advisor
    Homework Helper

    You might go over your logic behind why you think that A is wrong.

    Carl
     
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