Solved: True or False? In Exercises 53 and 54, determinewhether each statement is true

Chapter 7, Problem 7.182

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True or False? In Exercises 53 and 54, determinewhether each statement is true or false. If a statement istrue, give a reason or cite an appropriate statement fromthe text. If a statement is false, provide an example thatshows the statement is not true in all cases or cite anappropriate statement from the text. (a) Let be an matrix. Then is symmetric ifand only if is orthogonally diagonalizable.(b) The eigenvectors corresponding to distincteigenvalues are orthogonal for symmetric matrices.

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