Numerical analysis please include the details. thanks! 1. (5 points) Given the 1000 x 1000 matrix A, your computer can solve the 500 problems A biAT b2 . .. , Ax = b500 in exact yore minute using...
(a) Suppose we want to solve the linear vector-matrix equation Ax b for the vector x. Show that the Gauss elimination algorithm may be written bAbm,B where m 1, This process produces a matrix equation of the form Ux = g , in which matrix U is an upper-triangular matrix. Show that the solution vector x may be obtained by a back-substitution algorithm, in the form Jekel (b) Iterative methods for solving Ax-b work by splitting matrix A into two...
Please use Matlab to solve this problem EECE 4694 Numerical Methods and Computer Applications Homework -5 1. A condenser of capacity C is discharged through an inductance L and a resistance R in series, and the chargc g at any timc t is given by at2 Given that L-10mH. R-200 ohms. C-0.1μF, and also when 1-0, charge q- 0.01coulomb, and current 0 i. Using finite difference methods for initial value problems, find the value of q from time t0 to...