Answer:
see attached
Explanation:
You want to know the valid row operations that may be applied to the given matrix.
Row operations
A row operation will be valid if it does not change the solution set of the equations the matrix represents.
In general, any row may be replaced by a linear combination of that row and any other row. Replacing a row by some combination of other rows will result in making the equations dependent. A row may not be replaced by zeros or by some nonlinear function of its elements.
Two rows may be swapped.
The attachment shows the valid row operations.
Invalid ops
Working down the left column, the unchecked operations are invalid because ...
- nonlinear function
- not a combination involving row 2
- replaces the row with zeros
Working down the right column, the unchecked operations are invalid because ...
- division by 0 is undefined
- replaces the row with zeros
- not a combination involving row 3
<95141404393>