(5 points) The following statements are either True or False. If false, construct a specifc example to show that the sta

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(5 points) The following statements are either True or False. Iffalse, construct a specifc example to show thatthe statement is not always true. Such an example is called acounterexample to the statement. If the statementis true, provide proof.Let A and B be an n * n square matrices.(a) det A + det B = det(A + B).(b) If de tA = 0, then rows of A are linearly independent.Hint: Rows of A are columns of AT .