Prove that W (a,2a,3a) is a subset of R^3

Question

amistre64 · Answer

subsets are closed under addition and scalar multiplication, and also contain the 0 vector

anonymous · Answer

Can you prove that?

amistre64 · Answer

not with out knowing a little more about the question.  What assumptions are to be made?

amistre64 · Answer

if a is a vector in W, and the matrix A is formed by multiples of a, then its not a linearly independant basis

amistre64 · Answer

is "a" composed of more than 4 components? or is it a 3x1 column vector? (or a 1x3 row vector)?

anonymous · Answer

(a,2a,3a) the a's are just to show that the second component is 2x the first, and the third component is 3x the first

amistre64 · Answer

yes, and multiples of the same vector are not linearly dependant ... they are all the same vector

amistre64 · Answer

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