Linear Algebra - Lecture 31 - Linearly Independent Sets and Bases

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In this lecture, we revisit the ideas of linear independence and talk about the definition of basis.
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At 3:39, am unclear what is meant by "is the zero function" (at least thats what i'm hearing in your narration) after you've said that we're not interested in only one value of x since the equation will equal zero at a particular value (and appropriate multiples of it) of x and allowing the scalars to be equal (or it could also be done w different value of x and appropriate values of the scalars).

dktchr