5. (Strang 7.3.4) Consider the four points in 3-D space: {(1,0,1),(-1,0,1),(0, 2, -1),(0, -2, -1)} (a) Construct a matri
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5. (Strang 7.3.4) Consider the four points in 3-D space: {(1,0,1),(-1,0,1),(0, 2, -1),(0, -2, -1)} (a) Construct a matri
5. (Strang 7.3.4) Consider the four points in 3-D space: {(1,0,1),(-1,0,1),(0, 2, -1),(0, -2, -1)} (a) Construct a matrix, A, with the points as columns, and find the eigenvalues of AAT. (b) From your answer in (a), find the line through the origin that that is closest to these points. (c) From your answer in (a), find the plane through the origin that that is closest to these points.
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