12.5/5 points |Previous AnswersHoltLinAlg1 5.1.057.For each given matrixA, first compute det(A). Then multiply a row of your choosing by 3 and computethe determinant of the resulting matrixA'.(a)(b)Form a conjecture about the effect on determinants of multiplying a row times a scalar.Solution or Explanation(a)(b)0 1−10 1−1.A=3 2−5 4det(A) =2222det(A') =6666A=13−12030 1−1det(A) =11det(A') =33Multiplying a row bycdoes not change the determinant.Multiplying a row bycchanges the sign of the determinant.Multiplying a row bychas no consistent effect on the determinant.Multiplying a row bycmultiplies the determinant byc.Multiplying a row bycdivides the determinant byc.det=22; multiplying row 1 by 3, det=66.3 2−5 49 6−5 4det= 1; multiplying row 1 by 3, det= 3.13−120339−3203
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