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For each set B, and each vector space V, determine whether B is a basis for V (and justify your decision). V = R^3, B = {(1, 0, -1), (2, -1, 0), (0, -1, 3)}. V = P_2, B = {x^2 - 1, 2x^2 - x, x - 3}. V = M_2 (the vector space of 2 times 2matrices), B = {(17 83 42 95), (76 55 29 62), (33 34 35 37)}
For each set B, and each vector space V, determine whether B is a basis for V (and justify your decision). V = R^3, B = {(1, 0, -1), (2, -1, 0), (0, -1, 3)}. V = P_2, B = {x^2 - 1, 2x^2 - x, x - 3}. V = M_2 (the vector space of 2 times 2matrices), B = {(17 83 42 95), (76 55 29 62), (33 34 35 37)}
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Casey DurganLv2
23 May 2019