Unformatted text preview: y is an n & vector. (b) Draw the ±owchart for a function [x]=backSubst(U,y) which implements the solution of Part 2a on a digital computer. 3. ( 40 Pts.) Assume that the MATLAB functions [L,P,U]=lu(A), [y]=forwardSubst(L,b) and [x]=backSubst(U,y), that perform LU-decomposition, forward and backward substitutions, respectively are given. (a) Explain mathematically how to calculate the inverse of a matrix A using the LU-decomposition. (b) Draw the corresponding ±owchart which implements the procedure outlined in Part 3a on a digital computer. 1...
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- Fall '05
- Determinant, Triangular matrix, Upper Triangular Matrix