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(10%) Let T be the function that maps R into R such that T(?) = proj??, where ?= (1, 1). (a) Find T(x, y). (b)

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(10%) Let T be the function that maps R² into R² such that T(?) = proj??, where ?= (1, 1). (a) Find T(x, y). (b) Find T(5, 0). (c) Prove that T is a linear transformation form R² into R².

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