anonymous
  • anonymous
Find a basis of the subspace of R4 spanned by the following vectors:
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
0 1 -1 -1 -1, -1 2 -3 -3 -3, -1 0 -1 -1-1 , -1 1 -1 -2 -2 , -1 1 -1 -2 -2
amistre64
  • amistre64
new words to define eh..... whats defines a basis?
anonymous
  • anonymous
a set of linearly independent vectors that spans a space

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anonymous
  • anonymous
zebani...are these vectors 5 -tuples?
amistre64
  • amistre64
so different arrows pointing in different directions ......
anonymous
  • anonymous
yes these are 5 columb
anonymous
  • anonymous
but a subspace of R4 should be spanned by ordered 4-tuple:S
anonymous
  • anonymous
isnt it?
anonymous
  • anonymous
yes
anonymous
  • anonymous
it is my webwork question ı think so but ı dont know how can solve the question
anonymous
  • anonymous
so whats over here?
Stacey
  • Stacey
I would guess the R4 is a typo and should be R5.
anonymous
  • anonymous
since the vectors are given to span R5, we r to check the linear independence
anonymous
  • anonymous
taking the linear combinations of these vectors n setting it equal to zero, we have a 5 eqs in 5 variables
anonymous
  • anonymous
solve them using matrix method, if all the variables are equal to zero, this indicates the vectors are linearly independent
anonymous
  • anonymous
thanks for helping uzma =) ı solve it thaks yo you
anonymous
  • anonymous
welcome :)

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