Answer: Chapter 7 will focus on matrices A with the
Chapter 5, Problem 23E(choose chapter or problem)
Problem 23E
Chapter 7 will focus on matrices A with the property that AT = A. Exercises 23 and 24 show that every eigenvalue of such a matrix is necessarily real.
Let A be an n × n real matrix with the property that AT = A, let x be any vector in Cn, and let . The equalities below show that q is a real number by verifying that . Give a reason for each step.
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