Linear Algebra - Lecture 32: The Rank of a Matrix

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We introduce the rank of a matrix, which is the dimension of its range. Intuitively, the rank of a matrix measures the amount of non-degeneracy of the matrix, or the number of dimensions that the matrix does *not* squish away.

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Timestamps:
00:00 - Introduction and definition
01:20 - Geometric examples
04:07 - Characterization of rank (how to compute it)
09:55 - Computational example
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This is an incredibly intuitive and clear exposition.

rgoswami