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$\\ A\ is\ n*n \ matrix \ such \ that \ A^2=I \ and B \ is \ n*1 \ real \ \\vector \ then \ Ax=B \ has \\ \\ a) no \ solution \\ b) unique \ solution\\ c) infinitely \ many \ solution\\ d) none$
in Linear Algebra 46 points
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https://gateoverflow.in/187777/in-gate-2007-matrix

There is one discussion on this question but not able to understand the explanation.

Please anyone either explain that explanation or please provide a better one.

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