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Math Help - Inverse Matrix

  1. #1
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    Inverse Matrix

    What would be the best way to find the inverse of this matrix?

    A=
    [1 3 0 -1]
    [-3 -5 -8 3]
    [-4 -12 6 4]
    [0 -1 2 1]

    I have been told to use the I method using the matrix

    I=
    [1000]
    [0100]
    [0010]
    [0001]

    By performing the row reductions on A to transform into I, along the way doing the same row reductions to I in order to find the inverse?

    This seems to be more complicated than it has to be, any insights or ideas as to how I should approach this question

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  2. #2
    MHF Contributor

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    I know a few different ways to find inverses of matrices but the way you mention is the simplest.
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  3. #3
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    I am unsure of how to find out if there is an actual inverse for this matrix, I know with smaller matrices the determinant can be found by take ad-bc and as long as it is not zero, it means there is an inverse. How might I go about this with the larger 4 x 4 matrix?
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  4. #4
    MHF Contributor
    Joined
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    Talking

    Quote Originally Posted by needshelp12 View Post
    I am unsure of how to find out if there is an actual inverse for this matrix...
    To found out how, read a few online lessons on matrix inversion. :wink:
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