Find Reduced Row Echelon Form [[7,8]]

Problem

[[7,8]]

Solution

1. Identify the first non-zero entry in the first row, which is 7 This is the potential pivot for the first column.

2. Normalize the row by dividing every element in the row by the pivot value 7 to create a leading 1

3. Calculate the new values for the row: the first element becomes 7/7=1 and the second element becomes 8/7

4. Verify that the matrix now satisfies the requirements for Reduced Row Echelon Form: the first non-zero entry of the row is 1 and it is the only non-zero entry in its column.

Final Answer

rref*[[7,8]]=[[1,8/7]]

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