True or False In Exercises 97100, determine whether each statement is true or false. If

Chapter 6, Problem 99

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True or False? In Exercises 97100, 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) In calculus, any linear function is also a linear transformation from to (b) A linear transformation is said to be onto if and only if for all and in implies (c) Because of the computational advantages, it is best to choose a basis for V such that the transformation matrix is diagonal.

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