**Eigenpairs of Matrix A:**A matrix $ A $ has the following eigenpairs:1. $ (\lambda_1 = 4, \begin{bmatrix} 2 \\ 1 \end{bmatrix}) $2. $ (\lambda_2 = 2, \begin{bmatrix} 1 \\ 1 \end{bmatrix}) $**Task:**Use these eigenpairs to find matrix $ A $.**Hint:**The matrix $ A $ can be found using the formula $ A = PDP^{-1} $.**Matrix Representation:**\[ A = \begin{bmatrix} 6 & \text{Ex: 5} \\ & \end{bmatrix} \]

and corresponding eigen vector is and corresponding eigen vector is

Answered: A matrix A has the following…

A matrix A has the following eigenpairs. (₁₁ 4. [²]) (¹₂=². []) = 2, Use these eigenpairs to find matrix A. Hint: A = PDP-¹

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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