Let A be a 3 x 3 matrix, and let S = {v1, V2, V3} be a linearly independent set in R such %3D that Avi = V1, Av2 = -V2, Av3 = 0. (a) Let w =vı+ v2 + V3. Show that v1, V2 and v3 are all in Span{w, Aw, A?w}.

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A: It is widely used in statistics . It has applications in almost all multivariate problems .

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