Set W1 = -2v1 2v2 and w2: = -4v16v2. Suppose V1, V2 are independent vectors. 1. Show that v₁ is in the linear span of {W1, W2} by finding t1, t2 such that V1 t₁ t2 = = t1W1 + t2w2. 10 39 1 10 2. Show that v2 is in the linear span of {w1, W2} by finding S1, S2 such that V2 S1 S2 = = S1W1 S2W2.
Set W1 = -2v1 2v2 and w2: = -4v16v2. Suppose V1, V2 are independent vectors. 1. Show that v₁ is in the linear span of {W1, W2} by finding t1, t2 such that V1 t₁ t2 = = t1W1 + t2w2. 10 39 1 10 2. Show that v2 is in the linear span of {w1, W2} by finding S1, S2 such that V2 S1 S2 = = S1W1 S2W2.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 78E: Let S={v1,v2,v3} be a set of linearly independent vectors in R3. Find a linear transformation T from...
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