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Using the Rank - Nullity Theorem
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In this video, I state the Rank - Nullity Theorem. I then work through several examples in which I find the rank and nullity of a matrix to demonstrate examples of the theorem holding true. I then discuss how the Rank - Nullity Theorem is related to the dimensions of the Four Fundamental Subspaces of a matrix. I then work through several examples in which I state the dimensions of the Four Fundamental Subspaces of a given matrix.