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I have attached the problem.
part a) show that S is a subspace of R4
I have to show the following 3 conditions
0 vector is in S
if U and V are in S, then U+V is in S
If V is in S, then cV is in S where c is a scalar
if s and t=0 which are real #s, then the 0 vector is in R4, thus S is in R4.
If U=[2xy, x, y, x]^t and V=[2ab, a, b, a]^t then U+V still has four rows, thus S is in R4
If V=[2ab, a, b, a]^t, then cV still has four rows, thus S is in R4.
Is that the right procedure for part a?
part a) show that S is a subspace of R4
I have to show the following 3 conditions
0 vector is in S
if U and V are in S, then U+V is in S
If V is in S, then cV is in S where c is a scalar
if s and t=0 which are real #s, then the 0 vector is in R4, thus S is in R4.
If U=[2xy, x, y, x]^t and V=[2ab, a, b, a]^t then U+V still has four rows, thus S is in R4
If V=[2ab, a, b, a]^t, then cV still has four rows, thus S is in R4.
Is that the right procedure for part a?
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