Write each vector as a linear combination of the vectors in S. (If not possible, enter...
Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) S = (6, -7, 8, 6), (4, 6, -4, 1)} (a) (18, 43, -32, 0) -1 6 + 35 89 -14, 4 (b) V = 2. V = 1 23 -4, -14, 8 57 (c) W = 8 61 73 s X W = + 6 24 13 -2, 3 4 (d) Z = 4, | »2 + X
Write each vector as a linear combination of the vectors in S. (Use Si and s2, respectively, for the vectors in the set. If not possible, enter IMPOSSIBLE.) S = {(1, 2, -2), (2, -1, 1)} (a) z = (-3,-1, 1) (b) v = (-1, -5, 5) (c) w = (2,-16, 16) (d) u = (1,-6,-6) (d)
Write each vector as a linear combination of the vectors in S. (Use si and s2, respectively, for the vectors in the set. If not possible, enter IMPOSSIBLE.) S = {(1, 2, -2), (2, -1, 1)} (a) z = (-4, -3, 3) 2 = -251 – 1s2 (b) v = (-1, -6,6) (c) w = (0, -20, 20) w =
Consider the following vectors. 9 0 6 0 Give the corresponding linear combination. (If an answer does not exist, enter DNE.) 1I Is the vector v a linear combination of the vectors u1 and u? O The vector v is a linear combination of u and u 2 The vector v is not a linear combination of u1 and u2- Consider the following vectors. 9 0 6 0 Give the corresponding linear combination. (If an answer does not exist, enter...
(a) Write the vector aas a linear combination of the set of orthonormal basis vectors 2 marks] (b) Find the orthogonal projection of the vector (1,-3) on the vector v- (-1,5). 2 marks] (c) Using your result for part (b) verify that w = u-prolvu is perpendicular to V. 2 marks] (a) Write the vector aas a linear combination of the set of orthonormal basis vectors 2 marks] (b) Find the orthogonal projection of the vector (1,-3) on the vector...
Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)S = {(2, −1, 3), (5, 0, 4)}(a) z = (1, −3, 5)z= (______)s1 + (_____)s2(b) v = ( 8, − 1/4, 27/4)v = (___)s1+(___)s2(c) w = (4, -7, 13)w = (___)s1+(___)s2(d) u = (5,1,-1)u = (___)s1 + (___)s2
Find a linear combination of vectors vi -(1,-1,0,3),v2 (3,1,2,2). v (-2,4,-1, 3) that is equal to vector t - (1,9, 3,-2). If it's impossible, enter all zeros Find a linear combination of vectors vi -(1,-1,0,3),v2 (3,1,2,2). v (-2,4,-1, 3) that is equal to vector t - (1,9, 3,-2). If it's impossible, enter all zeros
Write v as a linear combination of ui, uz, and U3, if possible. (If not possible, enter IMPOSSIBLE.) v=(4, -22, -9, -10), 41 = (1, -3, 1, 1), u2 = (-1, 3, 2, 3), U3 = (0, -2, -2, -2) U1 + uz + U3
4 We can write the vector V = | 3 | in the 2. linear combination of basis vectors 4 2. i = 4 12 = -6 6 5 3 = 3 as 4 Select one: 이 A. V = Su + 2 + u3 B. None of these answers 18 2 11 O 0 118 p. V = ful + 2 - ITU3 O E. V = -fu] + 2 - 13
[2] A linear combination of vectors is given. Determine the resultant vector using the tip- to-tail method for adding vectors geometrically. (9,-6) + (-12, -1) – (3, -15) + 5(2, -1)