Linear Algebra IWorksheet 10 SolutionsApril 17, 20071. [3 pts] Supposeλis an eigenvalue of then×nmatrixA. Show that the set ofall eigenvectors associated withλ(along with the zero vector) is a subspace ofRn.(This is called theeigenspaceassociated toλ.)2. (a) [3 pts] Find the characteristic equation for the matrixA=-23-2205(b) [3 pts] Find the eigenvalues for this matrix.