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Linear Algebra - Lecture 33: The Nullity of a Matrix
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We introduce the nullity of a matrix, which is the dimension of its null space. Intuitively, the nullity of a matrix measures the amount of degeneracy of the matrix, or the number of dimensions that the matrix squishes away.
Please leave a comment below if you have any questions, comments, or corrections.
Timestamps:
00:00 - Introduction and definition
02:05 - Rank-nullity theorem
04:41 - Example
05:48 - Rank and nullity versus invertibility
Please leave a comment below if you have any questions, comments, or corrections.
Timestamps:
00:00 - Introduction and definition
02:05 - Rank-nullity theorem
04:41 - Example
05:48 - Rank and nullity versus invertibility