True or False In Exercises 53 and 54, determine
Chapter 7, Problem 53(choose chapter or problem)
In Exercises 53 and 54, determine whether each statement is true or false. If a statement is true, give a reason or cite an appropriate statement from the text. If a statement is false, provide an example that shows the statement is not true in all cases or cite an appropriate statement from the text.
(a) Let A be an \(n \times n\) matrix. Then A is symmetric if and only if A is orthogonally diagonalizable.
(b) The eigenvectors corresponding to distinct eigenvalues are orthogonal for symmetric matrices.
Text Transcription:
n times n
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