(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 =...


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

Extracted 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?

Jun 04, 2022
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