Density of invertible matrices

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o.m.
Euclid
Posts: 32
Joined: Sun Apr 27, 2008 2:16 pm

Density of invertible matrices

Post by o.m. »

Prove that for any matrix \( A\in M(n,K) \), with \( K= \mathbb R\ \text{or}\ \mathbb C \), there exist a sequence of invertible matrices \( A_{q}\in GL(n,K) \) such that \( A_{q} \) tend to \( A \) when \( q \) tend to \( \infty \).
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