Question

45. State True or False. Justify your answer.
(a) If dim V = p and if S is a linearly dependent subset of V, then S contains more than p
vectors.​

Answer 1

Answer:

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Explanation:

If dimV = n and S is a linearly independent set in V, then S is a basis for V. FALSE S must have exactly n elements. 2 is a two dimensional subspace of R3. ... The number of variables in the equation Ax = 0 equals the dimension of Nul A.

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