# Interchanging rows does not change the determinant

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Interchanging rows does not change the determinant.
11/30/2017UW Common Math 308 Section 5.112.5/5 points |Previous AnswersHoltLinAlg2 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)A=253det(A) =26det(A') =78A=13−120301−1det(A) =det(A') =413..
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13.1/1 points |Previous AnswersHoltLinAlg2 5.1.069a.Determine if the statement is true or false, and justify your answer.Every matrixAhas a determinant.
11/30/2017UW Common Math 308 Section 5.114.1/1 points |Previous AnswersHoltLinAlg2 5.1.069b.Determine if the statement is true or false, and justify your answer.IfAis anmatrix, then each cofactor ofAis anmatrix.n×n(n− 1)×(n− 1).
7/1015.1/1 points |Previous AnswersHoltLinAlg2 5.1.070a.Determine if the statement is true or false, and justify your answer.IfAis anmatrix with all positive entries, then

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