(a) Show that the vectors ui = (3, 1,0), u2 = (-1,3,0) and uz = (0,0,4) form an orthogonal basis for R. (b) Write v = (-2, 2, 4) as a linear combination of ui (3, 1,0), u2 (-1,3, 0) and u3 %3D (0,0, 4).

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.