anonymous
  • anonymous
Can anyone help explain to the concept of spanning sets in linear algebra?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
yes every vector in the set can be wriiten as a linear combination of all the vectors in the span
anonymous
  • anonymous
for example the vector (1, 5, 3 ) can be written in R3 as 1(1,0,0) + 5(0,1,0) + 3 (0,0,1) in fact every vector in R3 can be written as a(1,0,0) +b(0,1,0) + c(0,0,1). a, ,b, c are all reals
anonymous
  • anonymous
Thanks, that makes sense, kind of hard to grasp for me for some reason

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anonymous
  • anonymous
another question, how would you know if a span of S in Rn does not have a solution or would all spans in Rn have a solution?

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