3. Determine if the mappings T and S specified below are linear transformations. Do this by verifying the defining properties, or giving a counterexample, as appropriate. (a) T : M2,2 → R defined by T ( :) = ad – bc. d (b) S: P2 → P3 defined by S(p(x)) = xp(x) + P(x). (c) In the case of S, calculate the standard matrix representation.

A: From the given data we should find  A∪B,A∩C   and (A∪C)∩B1) AUB Means all the elements written…

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A: We know that if two chords are intersecting at a point in following way, Then, BS.AS=DS.CS .

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