Question

For three vectors to form a spanning set whether they should be linearly dependent or independent?

Answer 1

Pls sum1 help

Answer 2

is a panning set "the most efficient" set?

Answer 3

if so, then all vectors of an efficient span should be INd

Answer 4

I had a question asking to prove that a particular vector is not in the space spanned by other two vectors out of the three vectors given. Hw do I do that.

Answer 5

3 vectors with 3 components right?

Answer 6

ya

Answer 7

there is a thrm in the book; got no idea which number for you;yas that if the rref matrix ov the vectors has a pivot in every row; then they are INd and you cannot create any particular vectorfrom a linear combonation of the other 2

Answer 8

in other words:

1 0 0
0 1 0 is the rref then you have INd vectors that cannot be created from the
0 0 1 other 2

Answer 9

i spose rref imight be a little further than needed to go; as long as there is a pivot in each row regardless you are good to go

Answer 10

What do you mean by pivot here?

Answer 11

pivot is a matrix term for .... well ... a leading number in a row that aint a zero

Answer 12

0034

3 is the pivot point

Answer 13

512

5 is your pivot point

002057

2 is your pivot point

Answer 14

Sorry I am nt very thorough with matrix cos I'v nt finishd learning yet. If I am to prove that I should show that the determinent is not equal to zero. Am I right?

Answer 15

determinate not=0 is prof enough in my book

Answer 16

10
01 det = 1 ; not zero; these are the vectors for the xy plane

12
48 det = 0 since they are the same vector; can be made from a linear combonation of the others

Answer 17

Thanx a lot. If u dnt mind shall I ask u a question.

Answer 18

yeah, at my age we dont really have a grade :) maybe the 35th or so