Eigen values and Eigen vectors | 2 x 2 matrix | Problem Solved | In English | Mathspedia |

Eigen values and Eigen vectors | 2 x 2 matrix | Problem Solved | In English | Mathspedia | -------------------------------------------------------------------------------------------------------------------- Here are the steps to find the eigenvalues ​​and eigenvectors: 1)For the matrix: Start with a square matrix, usually denoted “A”. With a given matrix A, we want to find its eigenvalues ​​and eigenvectors. 2)Characteristic equation: The first step is to find the eigenvalues. To do this, you need to solve the characteristic equation. The characteristic equation of the square matrix A is given by: det(A - λI) = 0 where λ (lambda) is the eigenvalue, I is the Identity matrix with the same size as A and det () is the determinant of matrix A - λI. 3)Solve for Eigenvalues: Solve the characteristic equation for λ. This will give you a set of eigenvalues, which might be real or complex. 4)For each Eigenvalue λ: Find Eigenvectors: To find the corresponding eigenvector(s) for each eigenvalue, you need to solve the equation: (A - λI)X= 0 ,where X is the eigenvector. -------------------------------------------------------------------------------------------------------------------------- Welcome guys ✌ For any queries DM 👇 https://www.instagram.com/mathspedia_by_abhi/ SUBSCRIBE 👇 https://www.youtube.com/c/MATHSPEDIAabhi?sub_confirmation=1 🔊IF YOU UNDERSTOOD THE CONCEPT DO GIVE ONE LIKE👍 🔊IF YOU HAVE ANY CLARIFICATION ABOUT THE CONCEPT PLEASE DO COMMENT💬 🔊IF YOU WANT MORE VIDEOS IN FUTURE DO SUBSCRIBE🙏 🔊IF YOU ARE FED UP WITH THE NOTIFICATION ALERT NO NEED TO PRESS 🔔 OR OTHERWISE DO PRESS 🔔 AND ONE MORE THING THANKS FOR WATCHING VIDEO🙏 -------------------------------------------------------------------------------------------------------------------------- #mathspedia #eigenvalue #eigenvector #2x2matrix #linearalgebra #engineeringmathematics #diplomaengineering