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anonymous

  • 5 years ago

Can anyone help explain to the concept of spanning sets in linear algebra?

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  1. anonymous
    • 5 years ago
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    yes every vector in the set can be wriiten as a linear combination of all the vectors in the span

  2. anonymous
    • 5 years ago
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    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

  3. anonymous
    • 5 years ago
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    Thanks, that makes sense, kind of hard to grasp for me for some reason

  4. anonymous
    • 5 years ago
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    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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