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Engineering Maths · Q66

Linear Algebra

Engineering and GATE · Engineering Maths · question 66

Q66

Let c1 ..... cn be scalars, not all zero, such that \[ _ i = 1^ n c_ i a_ i = 0\] where ai are column vectors in Rn. Consider the set of linear equations Ax = b where A = [a1 ..... an] and \[ b = _ i = 1^ n a_ i .\] The set of equations has

Let c1 ..... cn be scalars, not all zero, such that   where ai are column vectors in Rn. Consider the set of linear equations Ax = b where A = [a1 ..... an] and   The set of equations has
A.
a unique solution at x = Jn where Jn denotes a n-dimensional vector of all 1
B.
no solution
C.
infinitely many solutions
Answer
D.
finitely many solutions

Answer: Option C

Solution

Answer: Option C
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