Is the matrix 1 0 0 1 2 0 3 5 3 diagonalizable Justify but d

Is the matrix [1 0 0 1 2 0 -3 5 3] diagonalizable? (Justify, but do not compute).

Solution

Solution

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here the given matrix is lower triangle matrix so the diadonal elemnts are the eigen values of that matrix

eigen values are 1,2,3 and these are distinct values

Hence the given matrix is diagonalizable