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Some Operations

The first, second, and third rows of a determinant are denoted by R1, R2, and R3 respectively and the first, second, and third columns by C1, C2, and C3 respectively.
  1. The interchange of its ith row and jth row is denoted by Ri Rj.
  2. The interchange of ith column and jth column is denoted by Ci Cj.
  3. The addition of m times the elements of jth row of the corresponding elements of ith row is denoted by Ri Ri + mRj.
  4. The addition of m times the elements of jth column to the corresponding elements of ith column is denoted by Ci Ci + mCj.
  5. The addition of m times the elements of jth row to n–times the elements of ith row is denoted by Ri nRi + mRj.




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