4. Solve the following. (a) Determine which standard basis vectors can be added to the set S = {(-1,4,3), (1,–4,2)} to produce a basis for R³. (b) Remove one vector from the set S = {(1,0,3), (1,0,0), (2, 0, 6), (2, 1, 8)} so that it forms a basis for R3.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4. Solve the following.
(a) Determine which standard basis vectors can be added to the set S = {(-1,4,3),(1,–4,2)} to
produce a basis for R³.
(b) Remove one vector from the set S = {(1,0,3), (1,0,0), (2,0,6), (2, 1,8)} so that it forms a basis
for R3.
%3D
Transcribed Image Text:4. Solve the following. (a) Determine which standard basis vectors can be added to the set S = {(-1,4,3),(1,–4,2)} to produce a basis for R³. (b) Remove one vector from the set S = {(1,0,3), (1,0,0), (2,0,6), (2, 1,8)} so that it forms a basis for R3. %3D
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