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**1. Homework Statement**

This is more a question on 'what do my notes mean by x' so bear with me. The question is 'show that the matrix [tex] \\left(

\\begin{array}{cc}

0 & 1\\\\

0 & 0

\\end{array}

\\right) [/tex] does not have a complete set of eigenvectors'. I'm given the explanation that a set of eigenvectors is complete if an aribtrary column vector can be constructed by

[tex]b_{r} = \\alpha^{(k)} v_{r}^{(k)}[/tex]

...Ok, so? how does this make the set 'complete' and how am I supposed to make a judgement on the nature of the original matrix if it's not mentioned in the equation I'm told to use?

**2. Homework Equations**

See above

**3. The Attempt at a Solution**

None. I don't have the faintest idea what I'm supposed to be doing.

edit: bah. I've cut and paste the matrix code from elsewhere on this forum and all of a sudden it doesn't want to do as it's told. I give up. The matrix is | 0 1 |

| 0 0 |

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