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Inverse of a Matrix with det=0

  1. Feb 15, 2012 #1
    1. The problem statement, all variables and given/known data

    What is the inverse of matrix A?

    (1) (2) (1)
    (2) (-1) (2)
    (1) (2) (1)

    2. Relevant equations

    3. The attempt at a solution

    The determinant works out to be 0

    The inverse is 1/determinant x adj(A)

    Therefore the inverse is 1/0 x adj(A)

    So is the answer to, what is the inverse, simply that it is undefined?
  2. jcsd
  3. Feb 15, 2012 #2


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    Science Advisor
    Homework Helper

    Sure. If a matrix has determinant zero then it doesn't have an inverse. It doesn't represent a 1-1 map that can be inverted.
  4. Feb 15, 2012 #3
    Thank you
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