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For a real number "a", consider the system of equations: x+y+z=2 2x+3y+3z=4 2x+3y+(a^2-1)z=a+2 Which of the...

For a real number "a", consider the system of equations:

x+y+z=2

2x+3y+3z=4

2x+3y+(a^2-1)z=a+2

Which of the following statements is true?

A. If a= 3 then the system is inconsistent.

B. If a= 1 then the system has infinitely many solutions.

C. If a=−1 then the system has at least two distinct solutions.

D. If a= 2 then the system has a unique solution.

E. If a=−2 then the system is inconsistent.

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