Kunze Linear Algebra · Problem 2.3.2

Vector Spaces

Mathematics — Methods · linear-independence

Problem

Are the vectors α1=(1,1,2,4),α2=(2,−1,−5,2)\alpha_1 = (1, 1, 2, 4), \quad \alpha_2 = (2, -1, -5, 2) α3=(1,−1,−4,0),α4=(2,1,1,6)\alpha_3 = (1, -1, -4, 0), \quad \alpha_4 = (2, 1, 1, 6) linearly independent in R4R^4?

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