find a spectral decomposition of the matrix in the given exercise. Exercise 2

Relative Minimums and Maximums Afunction has a relative minimum at the point if for all points in some region around . 2. Afunction has a relative maximum at the point if for all points in some region around . Idea of critical points up to functions of two variables. Recall that a critical point of the function was a number so that either or doesn’t exist. We have a similar definition for critical points of functions of two variables. is a critical point of and that the second order partial derivatives are continuous in some region that contains . Next define, We then have the following classifications of the critical point. 1. If and then there is a relative minimum at . 2. If and then there is a relative maximum at . 3. If then the point is a saddle point. 4. If then the point may be a relative minimum, relative maximum or a saddle poi