I need for problem (h) . Check that the set at (h) is a subspace of R n or not. Transcribed Image Text: 23 Linear

I need for problem (h) . Check that the set at (h) is a subspace of R n or not. Transcribed Image Text: 23
Linear Transformations and Matrix Algebra
2
(g) (x e R : x =s
for some s, te R}
1
+t
2
3
2
(h) (x e R3 x=
LJ
for some s,te R}
+S
0
t
2
1
2
2
1
(i) {xe R3
for some s, t e R}
+s
:X =
4
+1
2
1
-1
-1
2 Criticize the following argument: By Exercise 1.1.13, for any vector v, we have Ov 0. So the
first criterion for subspaces is, in fact, a consequence of the second criterion and could therefore be
omitted.
#3. Suppose x, V1,.
Vk E R” and x is orthogonal to each of the vectors v1, … , Vk. Prove that x is
NO

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