Can someone provide me the steps to prove that those 3 are vectorial subspaces? I usually know what to do for R3 but in R4 I really have no clue .
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(A) and (c) are subspace. For (b), pick any element and multiply it by a negative scalar. Is it still in the set?
Originally Posted by SlipEternal (A) and (c) are subspace. For (b), pick any element and multiply it by a negative scalar. Is it still in the set? How can $(0,0,0,0)$ belong to (c)? SEE HERE
Last edited by Plato; Oct 18th 2018 at 08:30 PM.
Originally Posted by Plato How can $(0,0,0,0)$ belong to (c)? SEE HERE Oops, good point! My mistake.