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If one of the eigenvalues of an n x n matrix A is 0, then which of the following statements must be true? A

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If one of the eigenvalues of an n x n matrix A is 0, then which of the following statements must be true? A is not diagonalisable. The determinant of A is 0. The column space of A is n-dimensional. The solution to Axb is unique for all be R".

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