Do you know what "span" means? It looks to me like a straight forward case of applying the definition.
What have you tried?
Hi guys, and thank you.
Denovo, that's the first example that crossed my mind, by this example the LHS and RHS are equal:
is equal to:
but my intuition misled me so many times, and i wasn't sure that proves it.
no, they are not equal. the point (3,4,5) is in Span(AUBUW), since:
(3,4,5) = 4(0,1,0) + 5(0,0,1) + (3,0,0), and (0,1,0) is in A, so in AUBUW, (0,0,1) is in B, so in AUBUW, and (3,0,0) is in W, so is in AUBUW.
is (3,4,5) in Span(AUB)UW? if so, it would have to be in either Span(AUB), or W, or both. is this true?