5. (a) Show that the vectors u1 = (3, 1,0), u2 = (-1,3,0) and uz = (0,0, 4) form an orthogonalbasis for R3.(b) Write v = (-2,2,4) as a linear combination of u1 = (3,1,0), u2(0,0,4).= (-1,3,0) and uz%3D||

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5. (a) Show that the vectors u1 = (3, 1,0), u2 = (-1,3,0) and uz = (0,0, 4) form an orthogonal basis for R3. (b) Write v (0,0, 4). (-1,3,0) and u3 (-2, 2, 4) as a linear combination of u1 = (3, 1,0), u2 =

5. (a) Show that the vectors u1 = (3, 1,0), u2 = (-1,3,0) and uz = (0,0, 4) form an orthogonal basis for R3. (b) Write v (0,0, 4). (-1,3,0) and u3 (-2, 2, 4) as a linear combination of u1 = (3, 1,0), u2 =

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

5. (a) Show that the vectors u1 = (3, 1,0), u2 = (-1,3,0) and uz = (0,0, 4) form an orthogonal
basis for R3.
(b) Write v = (-2,2,4) as a linear combination of u1 = (3,1,0), u2
(0,0,4).
= (-1,3,0) and uz
%3D
||

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