(1) Let Vi 3D (1,-1, 1), Vz — (-1,1, -4), Vз — (4, -2, -3). Apply the Gram-Schmidt orthogonalization process to {V1, V2, V3} to ob- (a) tain an orthonormal basis B = {e1, e2, es} for R$. (b) Write v = (5, –3, -2) as a linear combination of the basis B = {e1, e2, e3}. What are the B-coordinates of v?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(1) Let Vi 3D (1,-1, 1), Vz — (-1,1, -4), Vз 3 (4, -2, -3).
Apply the Gram-Schmidt orthogonalization process to {V1, V2, V3} to ob-
(a)
tain an orthonormal basis B = {e1, e2, es} for R$.
(b)
Write v = (5, –3, -2) as a linear combination of the basis B
{e1, e2, e3}.
What are the B-coordinates of v?
Transcribed Image Text:(1) Let Vi 3D (1,-1, 1), Vz — (-1,1, -4), Vз 3 (4, -2, -3). Apply the Gram-Schmidt orthogonalization process to {V1, V2, V3} to ob- (a) tain an orthonormal basis B = {e1, e2, es} for R$. (b) Write v = (5, –3, -2) as a linear combination of the basis B {e1, e2, e3}. What are the B-coordinates of v?
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