Find a basis for the eigenspace corresponding to the eigenvalue of A given below. 5 0 A= -3 3 1. A basis for the eigenspace corresponding to X= 4 is (Use a comma to separate answers 36 needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Find a basis for the eigenspace corresponding to the eigenvalue of \( A \) given below.**

\[ A = \begin{bmatrix} 5 & 0 & -1 \\ -1 & 0 & 0 \\ -3 & 3 & 1 \end{bmatrix}, \lambda = 4 \]

*A basis for the eigenspace corresponding to \( \lambda = 4 \) is \(\space\space\space\)*

(Use a comma to separate answers as needed)
Transcribed Image Text:**Find a basis for the eigenspace corresponding to the eigenvalue of \( A \) given below.** \[ A = \begin{bmatrix} 5 & 0 & -1 \\ -1 & 0 & 0 \\ -3 & 3 & 1 \end{bmatrix}, \lambda = 4 \] *A basis for the eigenspace corresponding to \( \lambda = 4 \) is \(\space\space\space\)* (Use a comma to separate answers as needed)
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