Give an example of a real inner product space V and T 2 L.V / and realnumbers b; c with
Chapter 7, Problem 10(choose chapter or problem)
Give an example of a real inner product space V and T 2 L.V / and realnumbers b; c with b2 < 4c such that T 2 C bT C cI is not invertible.[The exercise above shows that the hypothesis that T is self-adjoint isneeded in 7.26, even for real vector spaces.]
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