Let x1.t /, x2.t /, :::; xn.t / be vector functions whose

Chapter , Problem 45

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Let x1.t /, x2.t /, :::; xn.t / be vector functions whose ith components (for some fixed i) xi1.t /, xi2.t /, :::; xin.t / are linearly independent real-valued functions. Conclude that the vector functions are themselves linearly independent.

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