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

Question

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 Ax=b is unique for all bR".

Kunduz · Accepted Answer

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