Let A be a 3×3 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)?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter3: Determinants
Section3.3: Properties Of Determinants
Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.
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Let A be a 3×3 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 3×3 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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