Find a basis of the subspace of R4 spanned by the following vectors:

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Find a basis of the subspace of R4 spanned by the following vectors:

Mathematics
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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
new words to define eh..... whats defines a basis?
a set of linearly independent vectors that spans a space

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Other answers:

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

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