Question: Suppose V and W are finite-dimensional vector spaces, T E L(V, W) is invertible, and let S E L(V, W). 2a) Show that null

Suppose V and W are finite-dimensional vector spaces, T E L(V, W)

Suppose V and W are finite-dimensional vector spaces, T E L(V, W) is invertible, and let S E L(V, W). 2a) Show that null (T+ S) C range (T-S). 2b) Deduce from part a) that dim null (T+S) dim range S.

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