\begin{enumerate} \item Yes. This is result of Theorem 2.7. \item Yes. This is result of Theorem 2.6. \item No. It's a $n\times m $ matrix. \item Yes. This is Theorem 2.8. \item Yes. This is Theorem 2.7. \item No. A transformaion of $\mathcal{L}(V,W)$ can not map element in $W$ in general. \end{enumerate}

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Linear Algebra

Exercise 2.2.1

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1.: Yes. This is result of Theorem 2.7.
2.: Yes. This is result of Theorem 2.6.
3.: No. It’s a $n \times m$ matrix.
4.: Yes. This is Theorem 2.8.
5.: Yes. This is Theorem 2.7.
6.: No. A transformaion of $L (V, W)$ can not map element in $W$ in general.

jephianlin

2011-06-27 00:00

Exercise 2.2.1

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