Find Reduced Row Echelon Form [[8,48],[0,0],[0,0]]

Problem

[[8,48],[0,0],[0,0]]

Solution

1. Identify the first non-zero entry in the first row, which is 8 in the first column.

2. Divide the first row by 8 to create a leading 1 (pivot) in the first row.

(R_1)→1/8*(R_1)

[[1,6],[0,0],[0,0]]

3. Check for other non-zero entries in the pivot column. Since all other entries in the first column are already 0 no further row operations are required.

4. Verify the conditions for Reduced Row Echelon Form: the first non-zero entry in each row is 1 it is to the right of the leading 1 of the previous row, and each column containing a leading 1 has zeros elsewhere.

Final Answer

rref*([8,48],[0,0],[0,0])=[[1,6],[0,0],[0,0]]

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