What is wrong with the following "proof" that every matrix with at least two rows is row equivalent to a matrix with a zero row? Perform R2 + R1 and R1 + R2• Now rows 1and 2 are identical. Now perform R2 - R1 to obtain a row of zeros in the second row.
What is wrong with the following "proof" that every matrix with at least two rows is row equivalent to a matrix with a zero row? Perform R2 + R1 and R1 + R2• Now rows 1and 2 are identical. Now perform R2 - R1 to obtain a row of zeros in the second row.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 85E: Determine if the statement is true or false. If the statement is false, then correct it and make it...
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What is wrong with the following "proof" that every matrix with at least two rows is row equivalent to a matrix with a zero row? Perform R2 + R1 and R1 + R2• Now rows 1and 2 are identical. Now perform R2 - R1 to obtain a row of zeros in the second row.
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