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2. State True or False. Briefly justify your answers. (a) If linear transformation T: RM + R is onto, then msn. (b) If linear transformation

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2. State True or False. Briefly justify your answers. (a) If linear transformation T: RM + R" is onto, then msn. (b) If linear transformation T:R" + R" is one-to-one, then m 2 n. (c) A one-to-one linear transformation T:R" R" is an isomorphism. (d) If A is the standard matrix of an isomorphism T:R" + R", then rank (A) = n. 2. State True or False. Briefly justify your answers. (a) If linear transformation T: RM + R" is onto, then msn. (b) If linear transformation T:R" + R" is one-to-one, then m 2 n. (c) A one-to-one linear transformation T:R" R" is an isomorphism. (d) If A is the standard matrix of an isomorphism T:R" + R", then rank (A) = n

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