So Av = λv, and we have success!Now it is your turn to find the eigenvector for the other eigenvalue of −7Why?What is the purpose of these?One of the cool things is we can use matrices to do transformations in space, which is used a lot in computer graphics.In that case the...
Eigen Decomposition, Eigen Decomposition Theorem, Eigenfunction, Eigenvalue, Left Eigenvector, Matrix, Matrix Diagonalization, Matrix Equation, Right Eigenvector Explore this topic in the MathWorld classroom Explore with Wolfram|AlphaMore things to try: eigenvector calculator eigenvector eigenvector ...
Calculating the trace and determinant In the case of a 2x2 matrix, in order to find the eigenvectors and eigenvalues, it's helpful first to get two very special numbers: the trace and the determinant of the array. Lucky for us, the eigenvalue and eigenvector calculator will find them auto...