Home >All Categories > Science & Mathematics >Mathematics >Open Question aba Member since:October 19, 2007Total points:269 (Level 2)3. Let S = {v1, v2, v3} be a linearly independent subset of V and let
T = {v1 + v2, v2 + v3, v1 + v3}.
(a) Show that if char F is not 2, then T is linearly independent.
(b) Show that if char F = 2, then T is not linearly independent.
4. Show that if a subset S of V is linearly independent, then any nonempty subset T of S
is also linearly independent.
5. Show that if a subset S of V is linearly independent and v ? V is not in sp(S), then
S ? {v} is linearly independent.Answer Question

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