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For the following linear system, determine whether the following statements are...

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For the following linear system, determine whether the following statements are true or false.

Here, is a real constant.

For , the solution of the linear system can be expressed as for .

For , the linear system has infinitely many solution.

For every value of , the reduced row echelon form of corresponding augmented matrix has three pivot numbers (leading entries).

For , the linear system is inconsistent.

If the linear system has a unique solution, then where denotes the real numbers.

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