Eigenvalues and Eigenvectors

Welcome to the "Eigenvalues and Eigenvectors" category on Questions LLC! This category is dedicated to the fascinating field of linear algebra, specifically focusing on eigenvalues and eigenvectors. Whether you are a student struggling to grasp these concepts or a professional seeking to deepen your understanding, you have come to the right place. Our Q&A website is designed to provide you with a platform to ask any questions you may have and receive expert answers from our knowledgeable community. Whether you are curious about the applications of eigenvalues and eigenvectors in various fields or looking for assistance in solving problems related to diagonalization and eigenspaces, our community members are here to help. So dive in, explore the questions, and expand your knowledge of eigenvalues and eigenvectors!

Questions (13)

The matrix;[ 1 -2 0] [-2 -1 1] [ 0 0 -1] I have found the eigenvalues to be -1 and +/- 5^1/2 but am having problems putting the
1. 1 answer
2. asked by Rom
3. 429 views
For which value of k does the matrix8 k -9 -3 have one real engenvalue of multiplicity 2? Explain.
1. 4 answers
2. asked by Anonymous
3. 3,507 views
Given a square matrix M, we say that a nonzero vector v is an eigenvector of M if Mv=kv for some real number k. The real number
1. 4 answers
2. asked by katie
3. 884 views
Find all eigenvalues and eigenvectors of matrixA=⎡⎣⎢11−2002−101⎤⎦⎥
1. 3 answers
2. asked by waqas1
3. 332 views
Suppose a 3x3 real matrix A has only two (real) distinct eigenvalues. Suppose that trace(A) = 1 and det(A) = -45 . Find the
1. 1 answer
2. asked by xiny
3. 99 views
Suppose that the trace of a 2x2 matrix A =4 , and the determinant is 3. Find the eigenvalues of Asmaller eigenvalue = larger
1. 1 answer
2. asked by xiny
3. 96 views
let the matrix A =(10 | 10 -4 | -3) Find the eigenvalues for A and for each find the corresponding eigenvector. Also express A
1. 1 answer
2. asked by Anon
3. 421 views
Suppose A = ( 6 9-1 -4). Then the largest eigenvalue of A is? The smallest eigenvalue of A is?
1. 1 answer
2. asked by RA
3. 316 views
Find the eigenvalues and corresponding eigenvectors of the matrix:0 0 1 M = 1 0 0 0 1 0
1. 3 answers
2. asked by Joe
3. 562 views
Sorry, this question is making my head spin. Can someone help?If x is an eigenvector for the square matrix A corresponding to
1. 1 answer
2. asked by Chris
3. 379 views
Sorry, this question is making my head spin. Can someone help?If x is an eigenvector for the square matrix A corresponding to
1. 1 answer
2. asked by Chris
3. 442 views
For the standard matrix{ 1 -2 0} {-2 -1 1} {0 0 1} I found the eigenvalues to be -1, and +/- 5^1/2 I am having problems finding
1. 1 answer
2. asked by tracy
3. 334 views
Find the eigenvalues and eigenvectors for the standard matrix :{ 1 -2 0} {-2 -1 1} {0 0 -1}
1. 1 answer
2. asked by romulo
3. 384 views