Question

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

Answer 1

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

Answer 2

new words to define eh..... whats defines a basis?

Answer 3

a set of linearly independent vectors that spans a space

Answer 4

zebani...are these vectors 5 -tuples?

Answer 5

so different arrows pointing in different directions ......

Answer 6

yes these are 5 columb

Answer 7

but a subspace of R4 should be spanned by ordered 4-tuple:S

Answer 8

isnt it?

Answer 9

yes

Answer 10

it is my webwork question ı think so but ı dont know how can solve the question

Answer 11

so whats over here?

Answer 12

I would guess the R4 is a typo and should be R5.

Answer 13

since the vectors are given to span R5, we r to check the linear independence

Answer 14

taking the linear combinations of these vectors n setting it equal to zero, we have a 5 eqs in 5 variables

Answer 15

solve them using matrix method, if all the variables are equal to zero, this indicates the vectors are linearly independent

Answer 16

thanks for helping uzma =) ı solve it thaks yo you

Answer 17

welcome :)