Solved: The linear transformation T : R2 R2 with matrix A = cos sin sin cos rotates
Chapter 7, Problem 10(choose chapter or problem)
The linear transformation T : R2 R2 with matrix A = cos sin sin cos rotates vectors in the x y-plane counterclockwise through an angle , where 0 < 2. By arguing geometrically, determine all values of for which A has real eigenvalues. Find the real eigenvalues and the corresponding eigenvectors. 1
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