Re:An Intuitive Guide to Linear Algebra (2012)
by JadeNB on Wednesday February 26, 2020 @03:19PM
(#22426879)
Well, it depends on what "the space" is. Every set of vectors (in a common ambient space) spans some space—often called the column space of a matrix, if they are the column vectors of the matrix.
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Re:An Intuitive Guide to Linear Algebra (2012)
by FabHK on Saturday February 29, 2020 @11:06AM
(#22451210)
Sure, every set of vectors will span the space they span. But the requirement that a basis span the space refers to the space it’s in, not the space it spans (otherwise every linearly independent set of vectors were a basis, spanning the space it spans.) I could go on :-)