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{"ops":[{"insert":"Consider the vector space V = C"},{"attributes":{"script":"super"},"insert":"2"},{"insert":"with scalar multiplication over the real numbers R, and let T : V \u2192 V be the linear operator defined by T (z1, z2) = (z1 \u2212 iz2, z2 \u2212 "},{"attributes":{"bold":true},"insert":"z"},{"insert":"2) . Let W be the cyclic subspace of V generated by w = (1 + 2i, 1 + i). \n\n5.1 Find the T\u2013cyclic basis \u03b2 for W generated by w. \n5.2 Find the characteristic polynomial of TW . \n5.3 Find [TW ]\u03b2. 5.4 Explain whether T = TW\n"}]}
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