3. Find the Eigenvalues and Eigenvector of the following matrix $C = \begin{pmatrix} 4 & 3 & 2 \\ -2 & -1 & -2 \\ -3 & -3 & -1 \end{pmatrix}$
Added by Erica B.
Close
Step 1
Step 2: The characteristic equation is: $\begin{vmatrix} 4-\lambda & 3 & 2 \\ -2 & -1-\lambda & -2 \\ -3 & -3 & -1-\lambda \end{vmatrix} = 0$ Step 3: Expanding the determinant, we get: $(4-\lambda)((-1-\lambda)(-1-\lambda) - (-2)(-3)) - 3((-2)(-1-\lambda) - Show more…
Show all steps
Your feedback will help us improve your experience
Raj Bala and 95 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find the cizenvalues and eigenvectors of the matrices$\left(\begin{array}{rrr}3 & 0 & -2 \\ 0 & 4 & 0 \\ -2 & 0 & 3\end{array}\right)$
COORDINATE TRANSFORMATIONS; TENSOR ANALYSIS
Miscellaneous problems
Find the cizenvalues and eigenvectors of the matrices$\left(\begin{array}{rrr}2 & -3 & 4 \\ -3 & 2 & 0 \\ 4 & 0 & 2\end{array}\right)$
Find the eigenvalues and eigenvectors of the following matrices.$\left(\begin{array}{lll}3 & 2 & 4 \\ 2 & 0 & 2 \\ 4 & 2 & 3\end{array}\right)$
Eigenvalues and cigenvectors; diagonalizing matrices
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD