Final answer:
To find the row echelon form of a matrix, use the Gaussian Elimination method.
Step-by-step explanation:
The row echelon form of a matrix can be found using the Gaussian Elimination method. Here are the steps to find the row echelon form:
- Start with the first row of the matrix and find the leftmost non-zero entry, called a pivot. If necessary, swap rows to bring a non-zero entry to the top.
- Multiply the first row by a suitable scalar and subtract it from the rows below, so that all entries below the pivot become zero.
- Move on to the second row and repeat the process to find the next pivot and eliminate the entries below it.
- Continue this process row by row until all rows have been processed.
By following these steps, you will obtain the row echelon form of the matrix. It is important to note that row echelon form is not unique, and different sequences of row operations can lead to different row echelon forms.