is a linear space. are sets, and is subspace:
i just need help to figure out if it's true or false.
thanks in advanced!
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?