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The set S = {(2a, b, a - b): a, b = R} quos & jonai (o) tails wol2 woled old is a subspace of R³. (a) Show that B = {(2, 1,0), (2, 2, -1)} is a basis for S. (b) Is S a point, a line, a plane or R³ itself? (c) Use Gram-Schmidt orthogonalisation to find an orthogonal basis for S that includes the vector (2, 1,0). MISSO ai tada odmin och vidieoq to

The set S = {(2a, b, a - b): a, b = R} quos & jonai (o) tails wol2 woled old is a subspace of R³. (a) Show that B = {(2, 1,0), (2, 2, -1)} is a basis for S. (b) Is S a point, a line, a plane or R³ itself? (c) Use Gram-Schmidt orthogonalisation to find an orthogonal basis for S that includes the vector (2, 1,0). MISSO ai tada odmin och vidieoq to

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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The set = 211 {(2a, b, a - b): a, b = R} 0,00) quo & jon ai & Jon ai (o.A) toda wodewoled ol is a subspace of R³. (a) Show that B = {(2, 1, 0), (2, 2, -1)} is a basis for S. (b) Is S a point, a line, a plane or R³ itself? (c) Use Gram-Schmidt orthogonalisation to find an orthogonal basis for S that includes the vector (2, 1,0). ai deda odmun oduo ovidiecq to och
Transcribed Image Text:The set = 211 {(2a, b, a - b): a, b = R} 0,00) quo & jon ai & Jon ai (o.A) toda wodewoled ol is a subspace of R³. (a) Show that B = {(2, 1, 0), (2, 2, -1)} is a basis for S. (b) Is S a point, a line, a plane or R³ itself? (c) Use Gram-Schmidt orthogonalisation to find an orthogonal basis for S that includes the vector (2, 1,0). ai deda odmun oduo ovidiecq to och
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