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**turbozz** Let V be some vector space and S be a subset.

a. V=T(3,3) and S is the set of invertible linear transformations.

I know the V represents all linear transformations from R^3 -> R^3, and all linear transformations in S must be invertible, thus they must all be bijective. But I'm unsure how to go about this?

I know the three conditions that establish a subspace - S contains the 0 vector, S is closed under addition, and S is closed under scalar multiplication. Just not sure how to proceed.