16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 3.5.8

Linear Transformations

Mathematics — Linear Algebra · annihilator-basis

Problem

Let WW be the subspace of R5R^5 which is spanned by the vectors α1=ϵ1+2ϵ2+ϵ3,α2=ϵ2+3ϵ3+3ϵ4+ϵ5\alpha_1 = \epsilon_1 + 2\epsilon_2 + \epsilon_3, \quad \alpha_2 = \epsilon_2 + 3\epsilon_3 + 3\epsilon_4 + \epsilon_5 α3=ϵ1+4ϵ2+6ϵ3+4ϵ4+ϵ5.\alpha_3 = \epsilon_1 + 4\epsilon_2 + 6\epsilon_3 + 4\epsilon_4 + \epsilon_5. Find a basis for W0W^0.

Related theory

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