10. For a new basis system the two basis vectors are E',E,+E₂+E, E'=E,-E, where E is 1 1 the standard basis system. Derive the components of the matrix A= 1 2 1 in the new basis system. 1 1 4

Linear Algebra: A Modern Introduction
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Author:David Poole
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Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
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10. For a new basis system the two basis vectors are E',E,+E₂+E, E'=E,-E, where E is
1 1
the standard basis system. Derive the components of the matrix A= 1 2 1 in the new
basis system.
1 1 4
Transcribed Image Text:10. For a new basis system the two basis vectors are E',E,+E₂+E, E'=E,-E, where E is 1 1 the standard basis system. Derive the components of the matrix A= 1 2 1 in the new basis system. 1 1 4
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