True or False? In Exercises 65 and 66, determinewhether each statement is true or false

Chapter 7, Problem 7.318

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True or False? In Exercises 65 and 66, 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.65. (a) An eigenvector of an matrix is a nonzerovector in such that is a scalar multiple of(b) Similar matrices may or may not have the sameeigenvalues.(c) To diagonalize a square matrix you need to findan invertible matrix such that is diagonal.

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