Projection: Difference between revisions

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==Unrotated vector lists are not bases==
==Unrotated vector lists are not bases==


As seen above, the unrotated vector list <math>V</math> is the concatenation of the unchanged-interval basis <math>\mathrm{U}</math> and the comma-basis <math>\mathrm{C}</math>. Yet <math>V</math> itself is not a basis; it is merely a ''list'' of vectors. Why is this? Perhaps it is best visualized in the diagram below:
As seen above, the unrotated vector list <math>V</math> is the concatenation of the unchanged-interval basis <math>\mathrm{U}</math> and the comma basis <math>\mathrm{C}</math>. Yet <math>V</math> itself is not a basis; it is merely a ''list'' of vectors. Why is this? Perhaps it is best visualized in the diagram below:


[[File:V is not basis.png|frameless|900x900px]]
[[File:V is not basis.png|frameless|900x900px]]