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A system of linear simultaneous equations is given

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A system of linear simultaneous equations is given as [Tex]AX=b[/Tex]
where [Tex][/Tex]A = \left[ {\matrix{ 1 & 0 & 1 & 0 \cr 0 & 1 & 0 & 1 \cr 1 & 1 & 0 & 0 \cr 0 & 0 & 0 & 1 \cr } } \right]\,\,\& \,\,b = \left[ {\matrix{ 0 \cr 0 \cr 0 \cr 1 \cr } } \right][Tex][/Tex]

Which of the following statement is true?

[Tex]x[/Tex] is a null vector

[Tex]x[/Tex] is unique

[Tex]x[/Tex] does not exist

[Tex]x[/Tex] has infinitely many values

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