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Linear AlgebraHardVector Spaces & Bases

Vector Spaces & Bases · Hard problem

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