Question

Let A be a 2x2 matrix and suppose that det(A)=3. For each of the following row...

Let A be a 2x2 matrix and suppose that det(A)=3. 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) Multiply row 1 by -4

b) Add 4 times row 2 to row 1

c) Interchange rows 2 and 1

Resulting values for det(B):

a) det(B) =

b) det(B) =

c) det(B) =

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