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Suppose U, V and W are finite-dimensional vector spaces and S? L(V, W) and T?L(U, V). Prove that dim(range(ST)) ? min{dim(range(S)), dim(range(T))}.
Suppose U, V and W are finite-dimensional vector spaces and S? L(V, W) and T?L(U, V). Prove that dim(range(ST)) ? min{dim(range(S)), dim(range(T))}.
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Discrete Mathematics
Authors: V K Balakrishnan
1st Edition
0486140385, 9780486140384
