Question: Please help me to answer the question below in detail. I really don't understand it. This's all the information I got for the question.Thank you

Please help me to answer the question below in detail. I really don't understand it. This's all the information I got for the question.Thank you so much, and have a great day!

4. Let T : R3 I- Ra be a linear transformation. (a) List (and justify} all subspaces of R3. (b) Let S be a subspace of R3. 15 T_I(S) a subspace? Note that T_1(S} is the set of all elements of R3 that are mapped to 3 under T. We do not know if T is invertible or not as linear transformation. ((2) Suppose T is surjective. What do we know about the dimension of ZIP1(3) compared to the dimension of 3? Interpret geometrically. (d) Give an example of a surjective linear transformation T and compute T413} where S is a plane. (e) What soureee did you use for this exercise

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