anonymous
  • anonymous
What is F^n in vector space..?? i mean its difference with R^n.. in the same context?
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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anonymous
  • anonymous
n tuples over a field F which might not be the real numbers \(\mathbb{R}\)
anonymous
  • anonymous
so it is somewhat more general, as F could be R but it could be something else
anonymous
  • anonymous
like what .. could you please elaborate with an example..

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anonymous
  • anonymous
do you know any fields besides the field of real numbers?
anonymous
  • anonymous
one example would be \(\mathbb{Q}\) the field of rational numbers or \(\mathbb{C}\) the field of complex numbers
anonymous
  • anonymous
but there are others, quaternions for example, or \(\mathbb{Z}_p\) for a prime \(p\)
anonymous
  • anonymous
in our class today our teacher dealt with coordination vector.. is there really something like that or is it a self coinage?
anonymous
  • anonymous
means \(\) where \(a_i\in F\)
anonymous
  • anonymous
for whatever field F you are considering. it could be real numbers, or complex numbers or whatever
anonymous
  • anonymous
so \[a_{i}\] may be complex ...?then it gets difficult to visualize the concept. Does co-ordination vector has any graphical significance(in terms of linear dependency)

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