Question: Let A be the standard matrix of a linear

transformation \(T: R^{5} \rightarrow R^{7}\). If the range of \(T\)

has dimension 2 , determine the dimension of each

of the following subspaces:

1. \(\operatorname{col} A\)
2. Null \(A\)
3. Row \(A\)
4. Null \(A^{\top}\)
5. the null space of \(T\)

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