Determine which of the following sets of vectors x = (x 1 , x 2 , .
Question:
Determine which of the following sets of vectors x = (x1, x2, . . . , xn)T are subspaces of Rn:
(a) All equal entries x1 = · · · = xn;
(b) All positive entries: xi ≥ 0;
(c) First and last entries equal to zero: x1 = xn = 0;
(d) Entries add up to zero: x1 + · · · + xn = 0;
(e) first and last entries differ by one: x1 − xn = 1.
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a The set of all equal entries x1 xn is a subspace of Rn It contains the zero vector ...View the full answer
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