Eigenvalues and Eigenvectors
Rx D x. Now we use determinants and linear algebra. This is the key calculation in the chapter—almost every application starts by solving Ax D x. First move x to the left side. Write the equation Ax D x as .A I/ x D 0. The matrix A I times the eigenvector x is the zero vector. The eigenvectors make up the nullspace of A I . When we know an ...
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