1. Answer the following questions. (a) Consider the linear transformation T(í) = proją(ï), where ū = |0 3 Find the matrix %3D for T. (b) Find the matrix for the linear transformation which reflects every vector in R² across the x-axis and then rotates every vector through an angle of

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
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1. Answer the following questions.
(a) Consider the linear transformation T(7) = proją(7), where ū = |0|. Find the matrix
for T.
(b) Find the matrix for the linear transformation which reflects every vector in R² across the
x-axis and then rotates every vector through an angle of
Transcribed Image Text:1. Answer the following questions. (a) Consider the linear transformation T(7) = proją(7), where ū = |0|. Find the matrix for T. (b) Find the matrix for the linear transformation which reflects every vector in R² across the x-axis and then rotates every vector through an angle of
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