Solved: True or False? In Exercises 41 and 42, determine

Chapter 6, Problem 6.4.42

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True or False? In Exercises 41 and 42, 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) The matrix for a linear transformation A relative tothe basis B is equal to the product PAP1, where Pis the transition matrix from B to B, A is the matrixfor the linear transformation relative to basis B, andP1 is the transition matrix from B to B.(b) The standard basis for Rn will always make thecoordinate matrix for the linear transformation Tthe simplest matrix possible.

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