Provide an appropriate response.
-Which of the following are not allowable transformations when the Gaussian elimination method is used to solve a system of linear equations?
(i) A multiple of elements of one row may be added to the
Corresponding elements of any other row.
(ii) Any two columns may be interchanged.
(iii) The elements of any row may be multiplied by the
Corresponding elements of another row.
(iv) All of the elements of any row may be multiplied by
Any nonzero number.
A) (ii), (iii), (iv)
B) (ii)
C) (ii), (iii)
D) (i), (iv)

Question

Quizplus · Accepted Answer

(ii) Interchanging columns changes the variables' positions, altering the system's solution. (iii) Multiplying elements of one row by those of another row is not a standard operation in Gaussian elimination, as it can change the system's solutions.

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