Find Reduced Row Echelon Form [[28,11,8,6]]

Problem

[[28,11,8,6]]

Solution

1. Identify the leading entry of the first row, which is 28

2. Normalize the row by dividing every element by the leading entry to create a leading 1

3. Calculate the resulting values for each column: 28/28=1 11/28 8/28=2/7 and 6/28=3/14

4. Verify that the matrix now satisfies the conditions for Reduced Row Echelon Form: the first non-zero entry in the row is 1 and it is the only non-zero entry in its column (since there are no other rows).

Final Answer

[[28,11,8,6]]=[[1,11/28,2/7,3/14]]

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