This might be a really simple question, but I just didn't find an answer from anywhere. I'm teaching linear algebra to myself and in my study material I came upon notation that I just don't understand. I can't find an explanation for it from my material and it is hard to find on the internet as well it seems. Example: U=L((3,2,−6,4),(0,4,1,−5) What does the L() notation mean? U itself should be a subspace for ℝ⁴. I would assume that those are vectors within the L().

basaltico00 2022-09-25 Answered
This might be a really simple question, but I just didn't find an answer from anywhere.
I'm teaching linear algebra to myself and in my study material I came upon notation that I just don't understand. I can't find an explanation for it from my material and it is hard to find on the internet as well it seems.
Example:
U = L ( ( 3 , 2 , 6 , 4 ) , ( 0 , 4 , 1 , 5 ) )
What does the L() notation mean? U itself should be a subspace for R 4 . I would assume that those are vectors within the L().
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Answers (1)

maceratorti
Answered 2022-09-26 Author has 10 answers
I agree with the commenters: it's most likely the linear span (L for linear) of the vectors in parenthesis. But that is from context rather than from convention.
In general, the best place to look for the answer to a question like this is the materials you are studying from.
while you're taking a route, you get a textbook and/or lecture notes. those texts are designed to be coherent and consistent. The definitions and notations may also vary from text to textual content. Notation is calculus has pretty much been standardized, but much less so in linear algebra.
while you're self-reading, I suppose you need to paintings in the identical way. deal with your one source. If there may be a definition or notation you don't recognize, paintings backwards until its first usage. There you'll discover its which means.
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