Question: Prove or disprove the following statement: There exists a matrix AM33(R)AM33(R) such that Col(A)Null(A)Col(A)Null(A). The complete process is required.

Prove or disprove the following statement:

There exists a matrix AM33(R)AM33(R) such that

Col(A)Null(A)Col(A)Null(A).

The complete process is required.

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