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Math Help - Prove Invertible

  1. #1
    Junior Member
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    Prove Invertible

    I don't get it. The question is to. . .

    Prove that if A, B, and C are invertible n x n matrices, then ABC is invertible and (ABC)^-1 = C^-1*B^-1*A^-1

    TIA!!!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by TreeMoney View Post
    I don't get it. The question is to. . .

    Prove that if A, B, and C are invertible n x n matrices, then ABC is invertible and (ABC)^-1 = C^-1*B^-1*A^-1

    TIA!!!
    Why not just show that:

    (C^-1 B^-1 A^-1)(ABC) = I

    RonL
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