Simple Yes or No Will Do Eigenvectors

  • Thread starter essie52
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Simple Yes or No Will Do.... Eigenvectors

Homework Statement



I think my prof made a mistake when writing this problem:

Find a basis of the space V of all 3 x 3 matrices A for which the vectors <1, 1> and <1, 2> are eigenvectors and thus determine the dimensions of V.

Is this problem possible? Wouldn't the matrices have to be 2 x 2 given the vectors?
 

Answers and Replies

  • #2
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It sounds like a mistake; the eigenvectors of a 3x3 matrix would each be of dimension 3.
 

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