Let u = (2,-1,5, 0), v=(4, 3, 1,-1), and w = (-6, 2, 0, 3) be...

 

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Let u = (2,-1,5, 0), v=(4, 3, 1,-1), and w = (-6, 2, 0, 3) be vectors in R¹. Solve x in each of the following cases. (a) x=3u-(v + 2w) (b) 2(x+w)=3u-v+x Exercise 2 Determine whether the following sets of vectors in R³ are L.I. or L.D S1 = { v1, v2, v3} = {(1, 2, 3), (0, 2, 4). (-2, 0, 1)) S2 = (v1, v2, v3} = {(0, 1, 2), (0, 2, 4), (-2, 0, 1))} Exercise 3 3.1 Show that B = (v1, v2} = {(2,2), (1,-1)) is a bases for R² 3.2 Find coordinates of vector v = (3,1) in the non standard base B Let u = (2,-1,5, 0), v=(4, 3, 1,-1), and w = (-6, 2, 0, 3) be vectors in R¹. Solve x in each of the following cases. (a) x=3u-(v + 2w) (b) 2(x+w)=3u-v+x Exercise 2 Determine whether the following sets of vectors in R³ are L.I. or L.D S1 = { v1, v2, v3} = {(1, 2, 3), (0, 2, 4). (-2, 0, 1)) S2 = (v1, v2, v3} = {(0, 1, 2), (0, 2, 4), (-2, 0, 1))} Exercise 3 3.1 Show that B = (v1, v2} = {(2,2), (1,-1)) is a bases for R² 3.2 Find coordinates of vector v = (3,1) in the non standard base B

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ATo solve for x in the equation x3uv2w we need to substitute the given values of u v and w into the given equation and simply as follows X3uv2w X32 5 ... View the full answer