11.–/5 pointsHoltLinAlg1 5.1.053.For each given matrixA, first compute det(A). Then interchange two rows of your choosing and computethe determinant of the resulting matrixA'.(a)(b)Form a conjecture about the effect of row interchanges on determinants.Interchanging rows halves the determinant.Interchanging rows doubles the determinant.Interchanging rows changes the sign of the determinant.Interchanging rows does not change the determinant.Interchanging rows has no consistent effect on the determinant.Solution or ExplanationA=3 4−5 2det(A) =(No Response)26det(A') =(No Response)-26A=13−12030 1−1det(A) =(No Response)1det(A') =(No Response)-1det=26; interchanging rows, det=−26.3 4−5 2−5 23 4
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