The relationship for arbitrary functions is more

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Unformatted text preview: ations. The relationship for arbitrary functions is more subtle. To see how, consider the following example 1 3 1 0 c) ~ = x ~, x ~ (0) = x 2x 3 7 0 , if x 0 2 cos(x) y 1 ( x) = x Note: it’s not hard to check your answers withx < 0 problems. , if these cos(x) y 2 ( x) = 3x 3 cos(x) ,x IR (a) Use the definition to show that y1 (x), y2 (x) are linearly dependent on x 0. (b) Use the definition show that y1 (x), y2 (x) are linearly dependent on x < 0. (c) Use the definition show that y1 (x), y2 (x) are linearly...
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