se the correct answer below. The statement is true. It is the definition of row equivalence. The statement is true. Two matrices are row equivalent if there exists a sequence of elementary row operations that transforms one matrix into the other. This can only occur if the matrices hav The statement is false. Two matrices are row equivalent if the equation corresponding to the first row of the first matrix is equivalent to the equation corresponding to the first row of the second equivalent to the equation coresponding to the second row of the second matrix, and so forth. The statement is false. Two matrices are row equivalent if there exists a sequence of elementary row operations that transforms one matrix into the other.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.1: Linear And Nonlinear Systems Of Equations
Problem 7ECP
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Determine whether the statement below is true or false. Justify the answer.
Two matrices are row equivalent if they have the same number of rows.
Choose the correct answer below.
• A. The statement is true. It is the definition of row equivalence.
• B. The statement is true. Two matrices are row equivalent if there exists a sequence of elementary row operations that transforms one matrix into the other. This can only occur if the matrices have the same number of rows.
• C. The statement is false. Two matrices are row equivalent if the equation corresponding to the first row of the first matrix is equivalent to the equation corresponding to the first row of the second matrix, the equation corresponding to the second row of the first matrix is
equivalent to the equation corresponding to the second row of the second matrix, and so forth.
D. The statement is false. Two matrices are row equivalent if there exists a sequence of elementary row operations that transforms one matrix into the other.
Transcribed Image Text:Determine whether the statement below is true or false. Justify the answer. Two matrices are row equivalent if they have the same number of rows. Choose the correct answer below. • A. The statement is true. It is the definition of row equivalence. • B. The statement is true. Two matrices are row equivalent if there exists a sequence of elementary row operations that transforms one matrix into the other. This can only occur if the matrices have the same number of rows. • C. The statement is false. Two matrices are row equivalent if the equation corresponding to the first row of the first matrix is equivalent to the equation corresponding to the first row of the second matrix, the equation corresponding to the second row of the first matrix is equivalent to the equation corresponding to the second row of the second matrix, and so forth. D. The statement is false. Two matrices are row equivalent if there exists a sequence of elementary row operations that transforms one matrix into the other.
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