7 ). Which of the following mappings T are linear? Justify your answer! (a) T R2R defined by T (b) T : R3 â R2 defined by T | | y | | = (c) T : R>R defined by T(x)-e 2 (d) T PsPs defined by T(f(t))(),where Ps is the space of all polynomials of degree at most 3. (e) T : Rn â Rn defined by T (v) = v + vo, for some fired voã¡0 E Rn.
Show transcribed image text7 ). Which of the following mappings T are linear? Justify your answer! (a) T R2R defined by T (b) T : R3 â R2 defined by T | | y | | = (c) T : R>R defined by T(x)-e 2 (d) T PsPs defined by T(f(t))(),where Ps is the space of all polynomials of degree at most 3. (e) T : Rn â Rn defined by T (v) = v + vo, for some fired voã¡0 E Rn.