Find Reduced Row Echelon Form [[1,-9,16],[0,0,0]]

Problem

[[1,−9,16],[0,0,0]]

Solution

1. Identify the leading entry in the first row. The leading entry is the first non-zero element, which is 1 at position (1,1)

2. Check the column of the leading entry. In the first column, all entries below the leading 1 are already 0

3. Examine the second row. The second row consists entirely of zeros, which means there are no more leading entries to process.

4. Verify the conditions for Reduced Row Echelon Form (RREF). The leading entry of each non-zero row is 1 it is the only non-zero entry in its column, and any rows of all zeros are at the bottom. The matrix already satisfies these conditions.

Final Answer

rref*[[1,−9,16],[0,0,0]]=[[1,−9,16],[0,0,0]]

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