- #1
Sojourner01
- 373
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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?
Homework Equations
See above
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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