Note Set 13b: The Big Picture + Fundamental Theorem of Matrixology
We can now really put things together. We set down the Big Picture for $\mathbf{A}\vec{x}=\vec{b}$ using Inigo for both a specific and abstract example. Row Space and Nullspace. Column Space and Left Nullspace. Orthogonal complements. Bases and dimensions. The flip of the Big Picture through the transpose. It truly is all happening out there. And then we write down most of the Fundamental Theorem of Matrixology. More to come at the end of the course when we reach Singular Value Decomposition. But you can bask now. Totally baskworthy.
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