Which of the following can be treated as an Elementary Row transformation.
Row 1 → Row 1 + Row 3
Row 2 → Row 2 + 2 Row 1
Row 2 → Row 2 + 2 Row 2
We know the transformation that we can add a constant multiple of elements of a row to the corresponding elements to any other row.
So, Row1 → Row1 + Row3 is correct
Row 2 → Row 2 + 2 Row 1 is correct.
We also know we can multiply every element of any row of a given matrix by a non zero number.
So, Row2 → Row2 + 2 Row 2 which is same as
Row2 → 3 Row2, 3 not equal to 0 so option c is correct
Now, Row3 → Row3 - Row3 is same as
Row3 → 0.Row 3 therefore option d is false.
∴options a, b, c are correct.