A. Construct a 2 × 2 matrix that is invertible but not diagonalizable. Also provide the inverse of your matrix. B. Construct a nondiagonal 2 × 2 matrix that is diagonalizable but not invertible.
A. Construct a 2 × 2 matrix that is invertible but not diagonalizable. Also provide the inverse of your matrix. B. Construct a nondiagonal 2 × 2 matrix that is diagonalizable but not invertible.
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:A. Construct a 2 × 2 matrix that is invertible but not diagonalizable. Also
provide the inverse of your matrix.
B. Construct a nondiagonal 2 × 2 matrix that is diagonalizable but not
invertible.
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