Let c1 … cn be scalars, not all zero, such that $\mathop \sum \limits_{i = 1}^n {c_i}{a_i} = 0$ where ai are column vectors in Rn. Consider the set of linear equationsAx = bwhere A = $\left[ {{a_1} \ldots {a_n}} \right]\;and\;b = \mathop \sum \limits_{i = 1}^n {a_i}$ The set of equations has

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Let c1 … cn be scalars, not all zero, such that $\mathop \sum \limits_{i = 1}^n {c_i}{a_i} = 0$ where ai are column vectors in Rn. Consider the set of linear equationsAx = bwhere A = $\left[ {{a_1} \ldots {a_n}} \right]\;and\;b = \mathop \sum \limits_{i = 1}^n {a_i}$ The set of equations has

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finitely many solutions

TuteeHUB · Answer

a unique solution at x = Jn where Jn denotes a n-dimensional vector of all 1

TuteeHUB · Answer

no solution

TuteeHUB · Answer

infinitely many solutions

1.	Let c1 … cn be scalars, not all zero, such that \(\mathop \sum \limits_{i = 1}^n {c_i}{a_i} = 0\) where ai are column vectors in Rn. Consider the set of linear equationsAx = bwhere A = \(\left[ {{a_1} \ldots {a_n}} \right]\;and\;b = \mathop \sum \limits_{i = 1}^n {a_i}\) 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
D.	finitely many solutions
Answer» D. finitely many solutions

Let c1 … cn be scalars, not all zero, such that \(\mathop \sum \limits_{i = 1}^n {c_i}{a_i} = 0\) where ai are column vectors in Rn. Consider the set of linear equationsAx = bwhere A = \(\left[ {{a_1} \ldots {a_n}} \right]\;and\;b = \mathop \sum \limits_{i = 1}^n {a_i}\) The set of equations has

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