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Show that, in n-dimensional space, any n + 1 vectors are linearly dependent. HINT: Given n+1 vectors,...

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Advance Math

Show that, in n-dimensional space, any n + 1 vectors arelinearly dependent.

HINT: Given n+1 vectors, where each vector has n components,write out the equations that determine whether these vectors arelinearly dependent or not. Show that these equations constitute asystem of n linear homogeneous equations with n + 1 unknowns. Whatdo you know about the possible solutions to such a system ofequations?

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