
To find: the elementary row operation to obtain the row equivalent matrix from the original matrix.

Answer to Problem 26E
The elementary row operation is
Explanation of Solution
Given information:
Original matrix is given by
New Row Equivalent matrix is given by
Concept used:
Co-efficient matrix of a system of linear equation of the form
The augmented matrix of the system of linear equation is given by
A matrix is in row echelon form if it has the following properties:
- Any rows consisting entirely of zeros at the bottom of the matrix.
- For each row that does not consist entirely of zeros, the first nonzero entry is 1.
- For two successive rows, the leading 1 in the higher row is further to the left than the leading 1 in the lower row.
And a matrix in row-echelon form is in reduced row echelon form if every column that has a leading 1 has zeros in every position above and below its leading 1.
Consider the given matrix.
If row 1 of the matrix is interchanged with row 2then it will reduces to
Now, denote the row 1 by
So, the performed row operation is
Chapter 7 Solutions
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