In Exercises 7–12, use Example 6 to list the eigenvalues of A. In each case, the transformation x ↦ Ax is the composition of a rotation and a scaling. Give the angle φ of the rotation, where −π < φ < π, and give the scale factor r.
9.
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- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning