Prove that the sere transformation and the identity transformation are linear transformations. (a) the ere transformation Le vand w be vetr spaces, let vand wte vetors in v, letebeasala, and let e the zero transtormation. which of the flowing proves the zere vansfurmation trom v to wis a linear tranaformation? (Select al tat apply) O Mew) co c) O etv-w)e-e ev) eTw) O rw) ) w) (B) the identity transformation Le v bea vector space, let v and w be vetors in v. let e be a scala and let nv-vbe the identity transtormation. which of the following preves the identity transformation trom v to visa linear transformationt (Select al that apply) O rev) ety) O v- w)vw TV)- Tw) O ev)e ) O erv - w)- cv- w)- crv) - cw) O rovw)- owcv) T(w) Orw)vw V) w)

Q: Q2) Let (A,T)be topological spaces; i=1,2,3. Then A, x A2 x Az is homomorphic to (A, x A2) x A3 I

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