Let A be a 3×3 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) Add -2 times row 2 to row 1 b) Interchange rows 2 and 1 c) Multiply row 2 by 2 Resulting values for det(B): a) det(B) = 0 b) det(B) = 0 c) det(B) = 0

Let A be a 3×3 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) Add -2 times row 2 to row 1 b) Interchange rows 2 and 1 c) Multiply row 2 by 2 Resulting values for det(B): a) det(B) = 0 b) det(B) = 0 c) det(B) = 0

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter4: Systems Of Linear Equations

Section4.5: Solve Systems Of Equations Using Matrices

Problem 4.78TI: Perform the indicated operations on the augmented matrix: (a) Interchange rows 1 and 2, (b) Multiply...

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