Let v1 = (1, 6, 4), v2 = (2, 4, 1), v3 = (1, 2, 5), and w1 = (1, 2, 5), w2 = (0, 8, 9)

Chapter 4, Problem 23

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Let v1 = (1, 6, 4), v2 = (2, 4, 1), v3 = (1, 2, 5), and w1 = (1, 2, 5), w2 = (0, 8, 9). Use Theorem 4.2.6 to show that span{v1, v2, v3} = span{w1, w2}. where is a fixed constant that depends on the mass of the block and the stiffness of the spring and c1 and c2 are arbitrary. Show that this set of functions forms a subspace of C(, ). Natural position m Released m Stretched m 0 x 0 x 0 x Figure Ex-23 W