16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 3.5.7

Linear Transformations

Mathematics — Linear Algebra · annihilator-of-subspace

Problem

Let α1=(1,0,−1,2)\alpha_1 = (1, 0, -1, 2) and α2=(2,3,1,1)\alpha_2 = (2, 3, 1, 1), and let WW be the subspace of R4R^4 spanned by α1\alpha_1 and α2\alpha_2. Which linear functionals ff: f(x1,x2,x3,x4)=c1x1+c2x2+c3x3+c4x4f(x_1, x_2, x_3, x_4) = c_1 x_1 + c_2 x_2 + c_3 x_3 + c_4 x_4 are in the annihilator of WW?

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