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Question 4

Solution

Let A be a 4x4 matrix and suppose that det(A)=8. For each of the following row operations, determine the value of det(B), where B is the matrix obtained by applying that row operation to A. 

 

a) Add -5 times row 4 to row 3

b) Interchange rows 3 and 4

c) Multiply row 4 by 4

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