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Geometric matrix problem!

  1. Mar 10, 2009 #1
    1. The problem statement, all variables and given/known data

    If A =

    [ -4e^4t sin(9t) -4e^5t cos (9t) ]
    [ 4e^4t cos (9t) -4te^5t sin (9t) ]

    then A^-1 =

    [ ___ ___ ]
    [ ___ ___ ]

    2. Relevant equations

    how do you deal with the exponents?

    3. The attempt at a solution
    Put into RREF, and then see what the inverse is?
  2. jcsd
  3. Mar 10, 2009 #2
    Well, you know that a matrix times its inverse gives the identity matrix. Set up the inverse matrix as having four unknown numbers in it (a,b,c,d for instance) and plug it into the equation I just mentioned. This will give you some equations to solve to find the parts of the inverse matrix.
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