Linear Algebra and Its Applications · Problem 3.2.23

Orthogonality — Gilbert Strang

Mathematics · cosines-projections-onto-lines

Problem

Continuing Problems 21--22, find the projection matrix P3P_3 onto a3=(2,−1,2)a_3 = (2,-1,2). Verify that P1+P2+P3=IP_1 + P_2 + P_3 = I. The basis a1,a2,a3a_1, a_2, a_3 is orthogonal!

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