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(a) Let R = M₂(C). Let V = C" considered as a left R-module in the natural way, i.e.,the action of a matrix A ¤ Mɲ(C) on a column vector x of length n is equal to the product Ax. Determine the submodules of V. (b) Now consider V = C" as a left CSn-module, where the action is given by еį = ¤π(i)for π € Sn, and where e₁, €2,..., en denotes the standard basis of Cn. Determine the submodules of V.

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