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Linear AlgebraHardVector Spaces & Bases

Vector Spaces & Bases · Hard problem

What is the dimension of the span of the vectors (4,4,1,−1)(4, 4, 1, -1), (14,−9,0,−3)(14, -9, 0, -3), (−14,−7,3,1)(-14, -7, 3, 1), (3,−1,−1,1)(3, -1, -1, 1) in R4\mathbb{R}^{4}?