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Let be a matrix with real entries, diagonalizable over , with an LU fact...

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Let be a matrix with real entries, diagonalizable over , with an LU factorization (without the need for partial pivoting) and such that . For , let

Which of the following statements is correct?

could be the vector obtained using the MATLAB command diag(U).

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could be the vector obtained using the MATLAB command diag(U).

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could be the vector obtained using the MATLAB command diag(U).

❌

could be the vector obtained using the MATLAB command diag(U).

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