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Mathematics, 26.11.2019 00:31 iibabycarrotsii
Suppose a is n x n matrix and the equation ax = 0 has only the trivial solution. explain why a has n pivot columns and a is row equivalent to in. by theorem 7, this shows that a must be invertible.)
theorem 7: an n x n matrix a is invertible if and only if a is row equivalent to in, and in this case, any sequence of elementary row operations that reduces a to in also transfrms in into a-1.
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Suppose a is n x n matrix and the equation ax = 0 has only the trivial solution. explain why a has n...
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