Are the following matrices diagonalizable:

http://img693.imageshack.us/img693/4198/91350081.jpg

I think neither are diagonalizable because they don't have at least two linearly independent eigenvectors. Am I correct?

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- Apr 5th 2010, 01:37 PMtemaireDiagonalizable matrix
Are the following matrices diagonalizable:

http://img693.imageshack.us/img693/4198/91350081.jpg

I think neither are diagonalizable because they don't have at least two linearly independent eigenvectors. Am I correct? - Apr 5th 2010, 02:34 PMharish21
To diagonalize a matrix, I would first find the

**eigenvectors**. The three eigenvectors $\displaystyle v_1, v_2, v_3$ will form the three columns(c1,c2,c3) of the matrix $\displaystyle P$.

**If P is invertible**, then the matrix given by $\displaystyle P^{-1} A P = D$ is the diagonal matrix - Apr 5th 2010, 02:41 PMtemaire
- Apr 5th 2010, 04:32 PMharish21