Ay therefore ax y ay x ay 28 by linearity ax 29

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Unformatted text preview: etting A corresponding solution vector is given by x , the reduced system of equations is , Finally, setting A corresponding solution vector is given by x 23. For computational purposes, note that if is an eigenvalue of B , then is an eigenvalue of the matrix A B Eigenvectors are unaffected, since they are only determined up to a scalar multiple. So with B , the associated characteristic equation is , with roots , and . Hence the eigenvalues of the given matrix, A , are , and . Setting , which corresponds to using in the modified problem the reduced system of equations is A corresponding solution vector is given by x the reduced system of equations is Setting , ________________________________________________________________________ page 358 —————————————————————————— CHAPTER 7. —— A corresponding solution vector is given by x , the reduced system of equations is Finally, setting A corresponding solution vector is given by x 25. Suppose that Ax 0 , but that x 0 . Let A Using elementary row operations, it is possible to transform the matrix into one t...
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