To diagonalize a matrix, I would first find the eigenvectors. The three eigenvectors will form the three columns(c1,c2,c3) of the matrix .
If P is invertible , then the matrix given by is the diagonal matrix
I have found the eigenvectors for both matrices. However, I only found one eigenvector for each matrix, which means that the two matrices do not have at least two linearly independent eigenvectors, which means that they are not diagonalizable. Is this correct?
I have found the eigenvectors for both matrices. However, I only found one eigenvector for each matrix, which means that the two matrices do not have at least two linearly independent eigenvectors, which means that they are not diagonalizable. Is this correct?
A matrix is diagonalizable only if it has n linearly independent eigenvectors.