Assume that alpha:S-T, and beta: T-U, gamma: T-U. prove each of the following statements A) If alpha and beta are invertible, then beta of alpha is invertible.
Last edited by mandy123; Sep 7th 2008 at 11:17 AM.
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Originally Posted by mandy123 Assume that alpha:S-T, and beta: T-U, gamma: T-U. prove each of the following statements A) If alpha and beta are invertible, then beta of alpha is invertible. I do the first one. A function is invertible if and only if it is one-to-one. Say . Thus, is invertible.
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