For an n*n matrix C=(cij) over R or C, we define v(C)=Max|cij|(adsbygoogle = window.adsbygoogle || []).push({});

a.Show that if A is invertible, then B is invertible if v(A-B) is sufficiently small.

b. Show that for any, not necessarily invertible, n*n matix A, there is a sequence Ak of invertible matrices with v(A - Ak) -> 0 .

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# Please help me prove this (desperate)

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