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6. (14 points) A linear map is said to be bijective if it is both injective and surjective. Decide if .the following linear. maps are

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6. (14 points) A linear map is said to be bijective if it is both injective and surjective. Decide if .the following linear. maps are injective, surjective, bijective, or neither injective ner surjective. Explain your answers. (a) The linear map T : R2 - R2 represented by the matrix 2 CO (b) The linear map R : R2 - R2 that rotates any vector counterclockwise by 7/3 radians around the origin. (c) The linear map P : R3 - R2 that projects a vector onto the plane z = 0

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