Which of the following is NOT an elementary row operation of a matrix?
A. Interchange two rows
B. Multiply each entry in a row by a nonzero constant k
C. Replace the j-th row with the sum of itself and a nonzero constant multiple of the i-th
row
D. None of them

The essence of elementary row operation of a matrix is to ensure that every element in the diagonal of the matrix has all the elements below it to be zero.

Elementary row operation includes:

1) Interchange of two rows

2) Multiplying a row by a constant (apart from zero)

3) Replacing a row by the sum of it and a constant multiple of another row

All of the operations highlighted above are elementary row operations. Therefore, options A, B, and C are elementary row operations

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Which of the following is NOT an elementary row operation of a matrix? A. Interchange two rows B. Multiply each entry in a row by a nonzero constant k C. Replace the j-th row with the sum of itself and a nonzero constant multiple of the i-th row D. None of them

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Which of the following is NOT an elementary row operation of a matrix?
A. Interchange two rows
B. Multiply each entry in a row by a nonzero constant k
C. Replace the j-th row with the sum of itself and a nonzero constant multiple of the i-th
row
D. None of them