Created on 2024-06-20Asked by Mia Brown (Solvelet student)
Find the row reduced echelon form of the matrix: ⎣⎡147258369⎦⎤.
Solution
To find the row reduced echelon form (RREF) of the matrix: ⎣⎡147258369⎦⎤. 1. **Write the augmented matrix:** ⎣⎡147258369000⎦⎤. 2. **Perform row operations to achieve RREF:** - Subtract 4 times the first row from the second row: R2←R2−4R1⟹⎣⎡1072−383−69000⎦⎤. - Subtract 7 times the first row from the third row: R3←R3−7R1⟹⎣⎡1002−3−63−6−12000⎦⎤. - Divide the second row by -3: R2←−3R2⟹⎣⎡10021−632−12000⎦⎤. - Add 6 times the second row to the third row: R3←R3+6R2⟹⎣⎡100210320000⎦⎤. - Subtract 2 times the second row from the first row: R1←R1−2R2⟹⎣⎡100010−120000⎦⎤. 3. **Result:** The row reduced echelon form of the matrix is: ⎣⎡100010−120000⎦⎤.Solved on Solvelet with Basic AI Model
Some of the related questions asked by James Wright on Solvelet
DefinitionA matrix is in reuced row echelon form (rref) if it satisfies the following formatter criteria: (1) everypivot column contains a 1 as its top entry, when we read down the column, and (2) the pivot 1's are the only nonzero entries in the pivot columns.
