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(6) Let A be an nxn matrix and consider the linear homogeneous system Ar = 0. If the linear system has only the trivial

(6) Let A be an nxn matrix and consider the linear homogeneous system Ar = 0. If the linear system has only the trivial solution state whether the following statements are true or false. (a) 0 is an eigenvalue of A (b) All columns of A are basic columns. (c) Rank of A is n. ===

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