Wednesday, July 15, 2020
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Why is it important for a matrix to be square?

Remember that an $n$-by-$m$ matrix with real-number entries represents a linear map from $mathbb{R}^m$ to $mathbb{R}^n$ (or more generally, an $n$-by-$m$ matrix with entries from some field $k$ represents a linear map from $k^m$ to $k^n$). When $m=n$ - that is, when the matrix is square - we're talking about a map from a space…
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