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Linear AlgebraHardVector Spaces & Bases

Vector Spaces & Bases · Hard problem

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