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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 21E
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