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Math Help - Invertible Matrices

  1. #1
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    Invertible Matrices

    Suppose A=[a1 a2 a3] is an invertible 3x3 matrix satisfying:
    A(1 2 1 )= (1 0 0) and A(-1 -1 2)=(1 1 0) (those are supposed to be columns not rows sorry)
    (a) Determine the first column of A-1
    (b)Determine the second column of A-1
    hint: the transformations associated are linear.


    If someone could please explain how to do this it would be greatly appreciated.
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  2. #2
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    Quote Originally Posted by arizona11 View Post
    Suppose A=[a1 a2 a3] is an invertible 3x3 matrix satisfying:
    A(1 2 1 )= (1 0 0) and A(-1 -1 2)=(1 1 0) (those are supposed to be columns not rows sorry)
    (a) Determine the first column of A-1
    (b)Determine the second column of A-1
    hint: the transformations associated are linear.


    If someone could please explain how to do this it would be greatly appreciated.

    Refer to http://www.mathhelpforum.com/math-he...-w1-w2-w3.html

    Note - A^-1 is itself a linear operator. And if A(x) = y => A^-1(y)=x

    This info should help you complete the exercise.
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