Which of the following statements is false ? There can be more than one answer, tick all that apply. There is penalty for wrong choice.

Question

Which of the following statements is  false ?  There can be more than one answer, tick all that apply. There is penalty for wrong choice.

Accepted Answer

In the elementary operation   , the constant    must be nonzero because otherwise, it will remove information or change the meaning of the original equation.

Answer

Elementary row operations permit one equation to be subtracted from another.

Answer

If a linear system is consistent, it has either one solution or infinitely many solutions.

Answer

A linear system with 3 variables and 3 equations always has exactly one solution.

Answer

Elementary row operations permit one equation to be multiplied by a nonzero constant.

Answer

If a row-echelon form of an augmented matrix for a consistent linear system has  a column which contains of no leading entry, the system must have infinitely many  solutions.

Answer

If we multiply all equations in the system by 2, the resulting system has the same solution set as the origin system.

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Which of the following statements is false ? There can be more than one answe...

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