# Math 225 Linear Algebra II Lecture Notes - ualberta.ca

Math **225 Linear Algebra II Lecture Notes** John C. Bowman University of Alberta Edmonton, Canada March 23, 2017

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www.math.ualberta.caQuestion 8. [p 341. #24] Let A be an n n real symmetric matrix, that is, A has real entries and AT = A: Show that if Ax = x for some nonzero vector in Cn; then, in fact, is real and the real part of x is an eigenvector of A: Hint: Compute xTAx and use question 7.Also, examine the real and imaginary parts of Ax:

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