True or False? In Exercises 53 and 54, determinewhether each statement is true or false

Chapter 6, Problem 6.204

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True or False? In Exercises 53 and 54, 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.53. (a) If is a linear transformation such thatthen the matrix whose columnscorrespond to and is such that forevery in is called the standard matrix for T. (b) All linear transformations have a unique inverse T-1

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