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Assorted Intuitions about Matrices

Avishek Sen Gupta on 3 April 2021

Some of these points about matrices are worth noting down, as aids to intuition. I might expand on some of these points into their own posts.

A Single Linearly Dependent Vector results in a non-invertible matrix

Note that the above diagram is not mathematically correct. I drew 5 basis vectors in 2D space, and you cannot have more than 2 linearly independent basis vectors in two dimensions. This diagram is simply for illustration purposes.


tags: Machine Learning - Linear Algebra - Theory