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Thread: [SOLVED] Elementary matrices

  1. April 30th 2010, 03:12 PM #1
    dwsmith
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    [SOLVED] Elementary matrices

    Every square matrix is a product of elementary matrices.

    False, a singular matrix isn't row equivalent to I.
    Suppose A is singular.
    E_k,...,E_1*A\neq I
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  2. April 30th 2010, 03:21 PM #2
    mr fantastic
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    Quote Originally Posted by dwsmith View Post
    Every square matrix is a product of elementary matrices.

    False, a singular matrix isn't row equivalent to I.
    Suppose A is singular.
    E_k,...,E_1*A\neq I
    That's the right idea.
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