Name the 3 Elementary Row Operations
The three elementary row operations are:
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The three elementary row operations are:
1. Interchanging Two Rows: This operation involves swapping the positions of two rows in a matrix. It is denoted by the symbol R_i ↔ R_j, where i and j represent the row numbers. This operation does not change the determinant of the matrix.
2. Multiplying a Row by a Non-Zero Scalar: This operation involves multiplying all the elements of a particular row by a non-zero scalar. It is denoted by the symbol kR_i, where k represents the scalar and i represents the row number. This operation does not change the determinant of the matrix.
3. Adding a Scalar Multiple of One Row to Another Row: This operation involves adding a scalar multiple of one row to another row. It is denoted by the symbol R_i + kR_j, where i and j represent the row numbers, and k represents the scalar. This operation also does not change the determinant of the matrix.
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