Consider T: R² → R² that projects vectors onto the line 3x - y = 0. Describe the eigenvalues and the corresponding eigenspaces of T without calculation.

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Chapter2: Second-order Linear Odes
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Consider T: R² → R² that projects vectors onto the line 3x - y = 0.
a. Describe the eigenvalues and the corresponding eigenspaces of T without calculation.
Find the matrix A that induces T.
b.
Find the eigenvalues and the corresponding eigenspaces algebraically. Do they match your
answer in part a?
Transcribed Image Text:Consider T: R² → R² that projects vectors onto the line 3x - y = 0. a. Describe the eigenvalues and the corresponding eigenspaces of T without calculation. Find the matrix A that induces T. b. Find the eigenvalues and the corresponding eigenspaces algebraically. Do they match your answer in part a?
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