<Dd> Q = (1 i i 1), (\ displaystyle Q = (\ begin (bmatrix) 1& (\ textrm (i)) \ \ (\ textrm (i)) &1 \ end (bmatrix)),) </Dd> <P> then Q BQ is diagonal . </P> <P> Note that the above examples show that the sum of diagonalizable matrices need not be diagonalizable . </P> <P> Consider a matrix </P>

Is the sum of two diagonalizable matrices diagonalizable
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