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Mar7-12, 01:05 AM
well is -4v in S?
if i multiply some vector in S by a negative scalar will that new vector still be in S?
Why wouldn't it be? Every vector in S is in the form <1x, 2x, 3x, ..., nx> for some real number x. Isn't this the same as x <1, 2, 3, ..., n>?