Explain the error in the following argument claiming that any matrix with at least two rows is row-equivalent to a matrix with a zero row: "Perform R1 – R2 and R2 – R (in alternate notation, these would be R1 : RỊ – R2 and R2: R2 – R1). Then row 1 is -1 times row 2. Now, perform R2 + R to obtain a row of zeroes in the second row."
Explain the error in the following argument claiming that any matrix with at least two rows is row-equivalent to a matrix with a zero row: "Perform R1 – R2 and R2 – R (in alternate notation, these would be R1 : RỊ – R2 and R2: R2 – R1). Then row 1 is -1 times row 2. Now, perform R2 + R to obtain a row of zeroes in the second row."
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.4: Determinants
Problem 53PS
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