9. Consider the column vectors u and v in R" cos(0) cos(20) sin(0) sin(20) u = v = cos(n®). sin(nº). where n > 3 and 0 = 27/n. (i) Calculate u™u+vTv. (ii) Calculate u™u – vTv + 2iu™v. (iii) Calculate the matrix A = uu" – vvT, Au and Av. Discuss.

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