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Linear Algebra

Exercise 6.7.7

Answers

Use the Lemma before Theorem 6.30. We have $Z_{1} = N {(T)}^{⊥}$ and $Z_{2} = R (T)$ .

1.: We have $Z_{1} = span {v_{1}, v_{2}} = V$ and $Z_{2} = span {u_{1}, u_{2}}$ .
2.: We have $Z_{1} = span {v_{1}}$ and $Z_{2} = span {u_{1}}$ .
3.: We have $Z_{1} = Z_{2} = V = W$ .
4.: We have $Z_{1} = Z_{2} = ℂ^{2}$ .

jephianlin

2011-06-27 00:00

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