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orangepig166Lv1
6 Nov 2019
Find (u, v) for the inner product (u, v) = 2u_1v_1 +3u_2v_2 +u_3v_3, defined in R^3, where u (5, 0, -5) and v = (8, 6, 13). Find Proj where u = (0, 3, 7) and v = (7, -6, -9). Determine whether the set of vectors {(4, -1, 1), (-1, 0, 4), (-4, -16, -1)} in R^3 is orthogonal (but not orthonormal), orthonormal, or neither. Use the Gram-Schmidt orthonormalization process to transform the basis B = {(0, 4, 8), (8, 0, 0), (1, 1, 1) for R^3 into an orthonormal basis. Use the Euclidean inner product for R^3 and use the vectors in the order in which they are shown. Show transcribed image text
Find (u, v) for the inner product (u, v) = 2u_1v_1 +3u_2v_2 +u_3v_3, defined in R^3, where u (5, 0, -5) and v = (8, 6, 13). Find Proj where u = (0, 3, 7) and v = (7, -6, -9). Determine whether the set of vectors {(4, -1, 1), (-1, 0, 4), (-4, -16, -1)} in R^3 is orthogonal (but not orthonormal), orthonormal, or neither. Use the Gram-Schmidt orthonormalization process to transform the basis B = {(0, 4, 8), (8, 0, 0), (1, 1, 1) for R^3 into an orthonormal basis. Use the Euclidean inner product for R^3 and use the vectors in the order in which they are shown.
Show transcribed image text Collen VonLv2
20 Apr 2019