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True/False? If 0 is an eigenvalue of a 3x3 matrix A with geometric multiplicity ug(A,0)=3, then...

True/False? If 0 is an eigenvalue of a 3x3 matrix A with geometric multiplicity ug(A,0)=3, then A is the zero-matrix, that is A=0

The answer is True, but I don't understand why.

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