Find a basis B for the domain of T such that the matrix for 7 relative to B is diagonal. (Enter the polynomial corresponding to the smaller eigenvalue first, followed by the polynomial corresponding to the larger eigenvalue.) T: P₁ → P₁: T(a + bx) = a + (a + 4b)x B =
Find a basis B for the domain of T such that the matrix for 7 relative to B is diagonal. (Enter the polynomial corresponding to the smaller eigenvalue first, followed by the polynomial corresponding to the larger eigenvalue.) T: P₁ → P₁: T(a + bx) = a + (a + 4b)x B =
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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Transcribed Image Text:Find a basis B for the domain of T such that the matrix for T relative to B is diagonal. (Enter the polynomial corresponding to the smaller eigenvalue first, followed by the polynomial corresponding to the
larger eigenvalue.)
T: P₁ → P₁: T(a + bx) = a + (a + 4b)x
B =
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