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Consider the vectors v1 = (2, –1, 5), v2 = (1, 3, -4), V3 = (-3, -9, 12) in R³. (a) Show that {v1, V2, V3} is linearly dependent. (b) Is vị e span{v2, V3}? Draw a picture illustrating your answer.

Consider the vectors v1 = (2, –1, 5), v2 = (1, 3, -4), V3 = (-3, -9, 12) in R³. (a) Show that {v1, V2, V3} is linearly dependent. (b) Is vị e span{v2, V3}? Draw a picture illustrating your answer.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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12. Consider the vectors v1 = (2, -1, 5), v2 = (1, 3, -4), V3 = (-3, –9, 12) in R³. (a) Show that {v1, v2, V3} is linearly dependent. (b) Is vị E span{v2, v3}? Draw a picture illustrating your answer.
Transcribed Image Text:12. Consider the vectors v1 = (2, -1, 5), v2 = (1, 3, -4), V3 = (-3, –9, 12) in R³. (a) Show that {v1, v2, V3} is linearly dependent. (b) Is vị E span{v2, v3}? Draw a picture illustrating your answer.
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