Let A be a 5x5 matrix and suppose that det(A)=6. 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 -3 times row 2 to row 3 b) Interchange rows 4 and 1 c) Multiply row 4 by 2 Resulting values for det(B): a) det(B) = 0 b) det(B) = 0 c) det(B) = 0

Let A be a 5x5 matrix and suppose that det(A)=6. 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 -3 times row 2 to row 3 b) Interchange rows 4 and 1 c) Multiply row 4 by 2 Resulting values for det(B): a) det(B) = 0 b) det(B) = 0 c) det(B) = 0

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.2: Direct Methods For Solving Linear Systems

Problem 22EQ: Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be...

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