2010 | OriginalPaper | Chapter
Matrices with Real or Complex Entries
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A matrix
$$M \in {M_{n \times m}}(k)$$
is an element of a vector space of finite dimension
n
2. When
K
=
$${\mathbb{R}}$$
or
K
=
$${\mathbb{C}}$$
, this space has a natural topology, that of
K
nm
. Therefore we may manipulate such notions as open and closed sets, and continuous and differentiable functions.