Review - Purdue Math
... 3. For what values of t, so that Ax = 0 has infinitely many solutions; 4. For what values of t, so that the columns of A form a basis for Rn ; 5. Let t = 1 and T : R3 → R3 be a linear transformation given by T x = Ax. Find ker(T ) and Rng(T ); 6. For t = 2, find A−1 using adjoint method; 7. For t = ...
... 3. For what values of t, so that Ax = 0 has infinitely many solutions; 4. For what values of t, so that the columns of A form a basis for Rn ; 5. Let t = 1 and T : R3 → R3 be a linear transformation given by T x = Ax. Find ker(T ) and Rng(T ); 6. For t = 2, find A−1 using adjoint method; 7. For t = ...
Algorithms for computing selected solutions of polynomial equations
... methods are based on tracing paths in the complex space (Garcia and Zangwill 1979). Their complexity for dense polynomial systems has been analyzed by Shub and Smale (1993) and recently homotopy algorithms for sparse systems have been described by Huber and Sturmfels (1992). Asymptotically speaking ...
... methods are based on tracing paths in the complex space (Garcia and Zangwill 1979). Their complexity for dense polynomial systems has been analyzed by Shub and Smale (1993) and recently homotopy algorithms for sparse systems have been described by Huber and Sturmfels (1992). Asymptotically speaking ...
