a) Let S = {v1, V2, V3} be a linearly independent set of vectors in R³. Determine whether T = {2v1 + v2 – 2v3,4v1 + 3v2 , 3v1 + 2v2 independent. vz} is linearly b) Describe all vectors that can be...


a) Let S = {v1, V2, V3} be a linearly independent set of vectors in R³. Determine<br>whether T = {2v1 + v2 – 2v3,4v1 + 3v2 , 3v1 + 2v2<br>independent.<br>vz} is linearly<br>b) Describe all vectors<br>that can be written as linear combinations of the<br>4<br>[4]<br>vectors v¡ =<br>,v2 = |2|,V3 = |2<br>1<br>

Extracted text: a) Let S = {v1, V2, V3} be a linearly independent set of vectors in R³. Determine whether T = {2v1 + v2 – 2v3,4v1 + 3v2 , 3v1 + 2v2 independent. vz} is linearly b) Describe all vectors that can be written as linear combinations of the 4 [4] vectors v¡ = ,v2 = |2|,V3 = |2 1

Jun 11, 2022
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