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Let A = -32 -21 and B={b₁,b₂}, for b₁ = a. Compute Ab₁. Ab₁ = and b₂ = 1 2 Define T: R² R2 by T(x) = Ax. a. Verify that b₁ is an eigenvector of A but that A is not diagonalizable. b. Find the B-matrix for T.

Let A = -32 -21 and B={b₁,b₂}, for b₁ = a. Compute Ab₁. Ab₁ = and b₂ = 1 2 Define T: R² R2 by T(x) = Ax. a. Verify that b₁ is an eigenvector of A but that A is not diagonalizable. b. Find the B-matrix for T.

Advanced Engineering Mathematics
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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Let A = -32 -21 and B={b₁,b₂), for b₁ = -1₁ a. Compute Ab₁. Ab₁ = and b₂ = Define T: R2 R2 by T(x) = Ax. a. Verify that b₁ is an eigenvector of A but that A is not diagonalizable. b. Find the B-matrix for T. ...
Transcribed Image Text:Let A = -32 -21 and B={b₁,b₂), for b₁ = -1₁ a. Compute Ab₁. Ab₁ = and b₂ = Define T: R2 R2 by T(x) = Ax. a. Verify that b₁ is an eigenvector of A but that A is not diagonalizable. b. Find the B-matrix for T. ...
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