Question: 1. (30 points) Given matrix A: cose -sine A = sine cose J. 05 0 5 21. Please verify the following (you may NOT use

1. (30 points) Given matrix A: cose -sine A = sine cose J. 05 0 5 21. Please verify the following (you may NOT use Matlab): a) det(A) = 1; b) The column vectors of A are orthogonal; c) The 2-norm |lull of the column vectors of A are equal to one; d) What is the rank of A

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