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0. Let C1.......Cn be scalars, not all zero, such that where are column vectors in Rn. Consider the set of linear equations Ax = b where A = [a1.......an] and The set of equations has
a unique solution at x = jn where jn denotes a n-dimensional vector of all 1
no solution
infinitely many solutions
finitely many solutions
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where are column vectors in Rn. Consider the set of linear equations Ax = b
where A = [a1.......an] and 
⇒ Ax = b has infinitely many solutions.