how to get matrices [5 0 0 0 5 0
Posted: Thu May 12, 2022 10:09 am
how to get matrices
[5 0 0
0 5 0
(a) Show that vectors uj = (1, -2,0), u2 = (2,1,0) and u3 = (0,0,2) form an orthogonal basis for R. (b) Express v = (2, -3,4) as a linear combination of the orthogonal basis vectors of part (a). Solution:
= = Ax= v AT Ax = ATV 5 0 0] [1 -2 05 2 1 0 4 0 0 - X = 0 2 2 -3 4. Cocooor 5 0 0 0 05 5 0 0 0 4 8 1 X = 8
[5 0 0
0 5 0
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= = Ax= v AT Ax = ATV 5 0 0] [1 -2 05 2 1 0 4 0 0 - X = 0 2 2 -3 4. Cocooor 5 0 0 0 05 5 0 0 0 4 8 1 X = 8