= Consider the vector space R² with the standard basis {e1 {v1 = (1, 1), V2 = = (1, 0), e2 = (0, 1)} and a new basis new basis. (1,-1)}. a) Find the change of basis matrix from the standard basis to the b) Express the vector w = (2, 3) in the new basis {V1, V2}.
= Consider the vector space R² with the standard basis {e1 {v1 = (1, 1), V2 = = (1, 0), e2 = (0, 1)} and a new basis new basis. (1,-1)}. a) Find the change of basis matrix from the standard basis to the b) Express the vector w = (2, 3) in the new basis {V1, V2}.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 69E: Find a basis for R2 that includes the vector (2,2).
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Consider the vector space R² with the standard basis {e1
{v1 = (1, 1), V2
=
= (1, 0), e2 = (0, 1)} and a new basis
new basis.
(1,-1)}. a) Find the change of basis matrix from the standard basis to the
b) Express the vector w = (2, 3) in the new basis {V1, V2}.
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