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Math Help - upper triangular matrix

  1. #1
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    upper triangular matrix

    An mxn matrix is one whose entries below the main diagonal's are zeros. When is a square upper triangular matrix invertible?
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  2. #2
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    Quote Originally Posted by cottekr View Post
    An mxn matrix is one whose entries below the main diagonal's are zeros. When is a square upper triangular matrix invertible?

    ANY square matrix is invertible iff its determinant is not zero. The question thus is: what's the determinant of a triangular (upper or lower, it's the same) matrix? Think of it, the answer is surprisingly simple.

    Tonio
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