Let A be a 3x3 matrix, and suppose that the matrix B is obtained from A by the following row operations: R1+→R2; R3¬R3+5R2 , If det (A)=12, what is det (B)?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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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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Let A be a 3x3 matrix, and suppose that the matrix B is obtained from A by the following row
operations: R1+→R2; R3¬R3+5R2 , If det (A)=12, what is det (B)?
Transcribed Image Text:Let A be a 3x3 matrix, and suppose that the matrix B is obtained from A by the following row operations: R1+→R2; R3¬R3+5R2 , If det (A)=12, what is det (B)?
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