Question 4. Four vectors are given: vi = (1, 1, 1), v2 = (0, 2, 2), v3 (-1,3, 1), u = (-2, 2, 0). 1) Show that the vectors v1, V2, V3 make a basis in R³. 2) Find the coordinates of the vector u in this basis.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 4. Four vectors are given:
vi = (1, 1, 1), v2 = (0, 2, 2), v3 = (-1, 3, 1), u = (-2,2, 0).
(-2, 2,0).
1) Show that the vectors v1, V2, V3 make a basis in R³.
2) Find the coordinates of the vector u in this basis.
Transcribed Image Text:Question 4. Four vectors are given: vi = (1, 1, 1), v2 = (0, 2, 2), v3 = (-1, 3, 1), u = (-2,2, 0). (-2, 2,0). 1) Show that the vectors v1, V2, V3 make a basis in R³. 2) Find the coordinates of the vector u in this basis.
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