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Use the Appropriate Property of Determinants to Find A. Do Not Evaluate the Determinants. Vert } 4&23&-3 -43&-31&-17 3&-3&9 Vert

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Use the appropriate property of determinants to find a. Do not evaluate the determinants. vert } 4&23&-3 -43&-31&-17 3&-3&9 vert Answer: a=

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Elit · 8 yıl öğretmeni

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To find the value of , we can use the property of determinants that states that multiplying a row (or column) of a matrix by a scalar multiplies the determinant of the matrix by the same scalar.In this case, we have the determinant of a 3x3 matrix and we want to find the value of such that the determinant of the matrix remains unchanged when the first row is multiplied by .The given determinant is: We want to find such that: Comparing the two determinants, we can see that the second determinant is obtained by multiplying the first row of the original determinant by . Therefore, we have: Since the determinants are equal, we have: Solving for , we get: Therefore, the value of is .