Kunze Linear Algebra · Problem 2.6.5

Vector Spaces

Mathematics — Methods · explicit-description-of-subspace

Problem

Give an explicit description of the type (2-25) for the vectors β=(b1,b2,b3,b4,b5)\beta = (b_1, b_2, b_3, b_4, b_5) in WW which are linear combinations of the vectors α1=(1,0,2,1,−1),α2=(−1,2,−4,2,0)\alpha_1 = (1, 0, 2, 1, -1), \quad \alpha_2 = (-1, 2, -4, 2, 0) α3=(2,−1,5,2,1),α4=(2,1,3,5,2).\alpha_3 = (2, -1, 5, 2, 1), \quad \alpha_4 = (2, 1, 3, 5, 2).

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