Answer: C. True, because replacement, interchanging, and scaling are all reversible.
Step-by-step explanation:
Elementary operations in a matrix are defined as :
- Operations in arithmetic ( such as add , subtract, multiply, divide).
- They are of two kinds : Elementary row operations and elementary column operations.
Every elementary row operation is reversible.
- If we add row to the another row then we can reverse it by subtracting the first row from the other on the next step
- If we interchange a row by another then we can again interchange it on the next step.
- If we we multiply a constant on a row , we can reverse it by multiplying the inverse of the constant to the row on the next step.
Therefore , the correct answer is C. True, because replacement, interchanging, and scaling are all reversible.
