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 .

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Please help me prove this (desperate)

**Physics Forums | Science Articles, Homework Help, Discussion**