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(Solved): (6) Let Te (VW) And Let W' Be A Subspace Of W. The Inverse Image, Or Pre-image, Of W', Denoted T-(W) ...

(6) Let Te (VW) and let W be a subspace of W. The inverse image, or pre-image, of W, denoted T-(W) is defined T-I(w) = {U

(6) Let Te (VW) and let W' be a subspace of W. The inverse image, or pre-image, of W', denoted T-(W) is defined T-I(w') = {U EV|T() € W'). This set is still defined even when T is not invertible (so do not assume it is). Show that T'(W) is a subspace of V. [3]

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