Question

Find the eigenvalues and eigenvectors of the matrix $\begin{bmatrix} 7 & 2 & -4 \\ 0 & -4 & 0 \\ 3 & 0 & -1 \end{bmatrix}$

Name: Find the eigenvalues and eigenvectors of the matrix < b m a t r i x >
Uploaded: 2021-08-28T01:49:53-08:00
Duration: 2 min 50 s
Channel: Minh Le
Description: Find the eigenvalues and eigenvectors of the matrix < b m a t r i x >

          Find the eigenvalues and eigenvectors of the matrix $\begin{bmatrix} 7 & 2 & -4 \\ 0 & -4 & 0 \\ 3 & 0 & -1 \end{bmatrix}$

Added by Luis Miguel S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Minh Le

08/28/2021

Step 1

The matrix (A - λI) is: [[7-λ, 2, -4], [0, -4-λ, 0], [3, 0, -1-λ]] Now, we need to find the determinant of this matrix: |A - λI| = (7-λ)[(-4-λ)(-1-λ)] - 2(0) - 4(3) = (7-λ)(λ^2 + 5λ + 4) - 12 = (7-λ)(λ+1)(λ+4) - 12 Setting this determinant equal to zero and Show more…

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(2 points) Find the eigenvalues and eigenvectors of the matrix [[7,2,-4],[0,-4,0],[3,0,-1]]. lambda _(1)=,v_(1)=[[◻]] ◻ lambda _(2)= v_(2)= lambda _(3)= v_(3)= Disable Toolbar (2 points) 7 2 Find the eigenvalues and eigenvectors of the matrix 0 -4 4 0 -1 3 0 V1 12 V2 Disable Toolbar V3