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Determine the number of solutions to the following system

Infinitely many solutions

Which of the following statements is false?

There can be more than one answer, tick all that apply. There is penalty for wrong choice.

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

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

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

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

100%

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

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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.

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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 matrices is in row-echelon form?

matrices

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