Created on 2024-06-20Asked by Camila Adams (Solvelet student)
Determine the row echelon form of the matrix: ⎣⎡123369123⎦⎤.
Solution
To determine the row echelon form (REF) of the matrix: ⎣⎡123369123⎦⎤. 1. **Write the augmented matrix:** ⎣⎡123369123000⎦⎤. 2. **Perform row operations to achieve REF:** - Subtract 2 times the first row from the second row: R2←R2−2R1⟹⎣⎡103309103000⎦⎤. - Subtract 3 times the first row from the third row: R3←R3−3R1⟹⎣⎡100300100000⎦⎤. 3. **Result:** The row echelon form of the matrix is: ⎣⎡100300100000⎦⎤.Solved on Solvelet with Basic AI Model
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DefinitionFor each row operation on A, we modify the row operations that can be performed on the RREF matrix A. Note: In REF, all non-zero rows are above the all-zero rows, and each row entry is to the right of the row entry(s) above it . Example: Matrix 10 21 is in REF.
