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Linear AlgebraHardVector Spaces & Bases

Vector Spaces & Bases · Hard problem

What is the dimension of the span of the vectors (2,−1,4)(2, -1, 4), (1,−1,−1)(1, -1, -1), (2,2,−7)(2, 2, -7), (−1,1,0)(-1, 1, 0), (−6,−3,−4)(-6, -3, -4) in R3\mathbb{R}^{3}?