any tips would be appreciated =) Can the matrix be diagonalized? Either diagonal

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any tips would be appreciated =)

Can the matrix be diagonalized? Either diagonalize it or explain why this is impossible. Can the matrix be diagonalized? Either diagonalize it or explain why this is impossible. Can the n times n matrix be diagonalized? Either diagonalize it or explain why this is impossible. Note: It turns out that every complex matrix is similar to a block matrix whose diagonal blocks look like diagonal matrices or the ones above and whose off-diagonal blocks are all zero. This is called the Jordan form of the matrix.

Explanation / Answer

Note that diagonalised form of a matrix is in the jordan form so if there are any non zero elements in jordan form of a matrix other than the diagonal elements then the matrix is not diagonalisable therefore all the three examples given above are not diagonalisable

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