Question: Determine whether the given statement is true or false. If the statement is always true, then explain why. If the statement is (at least sometimes)

Determine whether the given statement is true or false. If the statement is always true, then explain why. If the statement is (at least sometimes) false, then give an example to show this.

(a) IfAis a 24 matrix of rank 2, andBis a 42 matrix withABequal to the zero matrix, thenBis the zero matrix.

(b) There is nonninvertible matrixAwhere the sum of all the columns ofAis the zero vector.

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