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) If P is the transition matrix from a basis B′ to B, then P−1 is the transition matrix from B to B′.(b) To perform the change of basis from a nonstandard basis B′ to the standard basis B, the transition matrix P−1 is simply B′.(c) The coordinate matrix of p=−3 + x + 5x2 relative to the standard basis for P2 is [p]S = [5  1  −3]T

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