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Determine if the statement is true or false.
Different sequences of row operations can lead to different reduced echelon forms for the same matrix.
True False
Justify your answer.

Answer :

dayanandghelaro

Answer:

False

Step-by-step explanation:

There are two concepts:

1. Row Echelon Form: There can be more than two row echelon forms of a single matrix, so different sequences of row operations can lead to different row echelon forms of a single matrix.

2. Reduced Row Echelon Form: It's unique for each matrix, so different sequences of row operations always lead to the same reduced row echelon form for the same matrix.

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