Hello guys, Welcome to Africa's Largest Video Search Engine, and you are watching 🔷15 - Eigenvalues and Eigenvectors of a 3x3 Matrix. and this video is uploaded by SkanCity Academy at 2022-06-02T15:17:58-07:00. We are just promoting this video only for entertainment and educational purpose only. I hop you like our Video Search Engine. [miWJw3m-rkw]
| Name | 🔷15 - Eigenvalues and Eigenvectors of a 3x3 Matrix |
| Video Uploader | Video From SkanCity Academy |
| Upload Date | This Video Uploaded At 02-06-2022 22:17:58 |
| Video Discription | 🔷14 - Eigenvalues and Eigenvectors of a 3x3 Matrix Given that A is a square matrix (nxn), Ax = kx -------(1), where A = an nxn matrix (square matrix), x = eigenvector of A corresponding to k, k = eigenvalue of A corresponding to x It is usually asked to find the eigenvalue as well as the eigenvector that satisfy the above equation. Notice that we are only interested in the solution with x not equal to zero. from (1), Ax = kx Ax = kIx ------(2) , (A-kI)x = 0 ----(3) the system will give a non-zero solution if and only if det (A-kI)x = 0 , det (A-kI) gives rise to a polynomial called the characteristic polynomial and the equation formed when det (A-kI) = 0 is called the characteristic equation. The solutions to the equation are the eigenvalues.... Visit channel Playlist for more videos on Engineering mathematics, applied electricity and Basic Mechanics. Kindly support and Subscribe Thank you [miWJw3m-rkw] |
| Category | Education |
| Tags | Eigenvalues and Eigenvectors | Eigenvalues and Eigenvectors of a 3x3 Matrix | eigenvectors of 3x3 matrix | eigenvalues of 3x3 matrix | find the eigenvalues and eigenvectors of the 3x3 matrix | characteristic equation | characteristic polynomial | singular matrix | how to find the eigenvalues and eigenvectors of a 3x3 matrix | how to find the eigenvalues and eigenvectors | eigenvectors | row echelon form eigenvectors | row echelon form eigenvalues |
