Recent content by auriana

  1. A

    Invertible Matrix Proof

    Thanks so much =)
  2. A

    Invertible Matrix Proof

    An nxn matrix is invertible if there is an nxn matrix C such that CA = AC = I. So since A^k is just A*A^(k-1) or you could say its A^(k-1)*A then A^(k-1) is that C matrix and is the inverse of A and A is invertible. Is that correct?
  3. A

    Invertible Matrix Proof

    Homework Statement Let A be an n x n matrix such that Ak = In for some positive integer k. Prove that A is invertible. Homework Equations We have studied inverses of matrices and the Invertible Matrix Theorem, but have not yet reached determinants, just to let you know that...
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