Linear Independence in Linear Algebra Explained

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This video explains the fundamentals of linear independence with comments on the row and column picture.
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What is the rank of a M x N matrix with M linearly independent rows and N linearly independent columns?

The axoims almost seem to imply that M = N in this case, if the rank of a matrix is the highest number of linerally independent rows + the rank of a matrix is the number of it's linerally independent columns.

evanlecarde