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Suppose that T , S :R2R3 are maps given by T ( x 1, x 2)=( x 1+2 x 2+3,2 x 1+3 x 2, x

Suppose that T,S:R2R3 are maps given by T(x1,x2)=(x1+2x2+3,2x1+3x2,x1x2)andS(x1,x2)=(2x1x2,2x2x1,6x13x2).

  1. Is T linear? If it is, determine if it is one-to-one, onto, both, or neither.
  2. Is S linear? If it is, determine if it is one-to-one, onto, both, or neither.

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