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

(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.