Hint: Show that these functions are linearly independent if and only if 1, x, x2, , xm−1 are linearly independent Solution: We will use two methods to arrive at
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16 fév 2007 · Prove that if S and S are subsets of a vector space V Determine whether the following functions are linearly dependent or linearly indepen-
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This function is zero at x = 0 and x = -1 (and nowhere else), so the largest interval is (-1,0) 10 Determine whether the given functions are linearly dependent or
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Use the Wronskian to prove that the functions f(x) = ex, g(x) = e2x, and h(x) = e3x are linearly independent on the real line −2 ln x are linearly independent on the interval x > 0 ex(x + 1)(x + 4) x7 This function is defined and continuous for all x > 0
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The concept of linear independence (and linear dependence) transcends the study of we again see the danger of one function being a linear combination of
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In this post we determine when a set of solutions of a linear differential equation What does it mean for the functions, {x1(t), ,xn(t)}, to be linearly independent?
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Hint: Show that these functions are linearly independent if and only if 1, x, x2, , xm−1 are linearly independent Solution: We will use two methods to arrive at
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