1 votes 1 votes Given the system of linear equations: $4y\ +\ 3z\ =\ 8\\ 2x\ -\ z\ =\ 2\\ 3x\ +\ 2y\ =\ 5$ Find L & U. Linear Algebra linear-algebra matrix engineering-mathematics + – Tuhin Dutta asked Dec 10, 2017 Tuhin Dutta 1.9k views answer comment Share Follow See 1 comment See all 1 1 comment reply Shivansh Gupta commented Dec 10, 2017 reply Follow Share LU decomposition is done on matrix. Matrix is not given. 0 votes 0 votes Please log in or register to add a comment.
2 votes 2 votes AX=B A=LU.... NOw Here $\begin{bmatrix} 0 &4 &3 \\ 2 &0 &-1 \\ 3&2 & 0 \end{bmatrix}$.... For finding LU decomposition of a matrix A...is possible IFF all leading det(A) must be non-zero...det(1,1) is zero... hs_yadav answered Dec 10, 2017 hs_yadav comment Share Follow See all 2 Comments See all 2 2 Comments reply Tuhin Dutta commented Dec 10, 2017 reply Follow Share Can't we interchange the rows? 0 votes 0 votes MIRIYALA JEEVAN KUMA commented Jan 18, 2018 reply Follow Share here leading principal minors are not 0 pls check. 0 votes 0 votes Please log in or register to add a comment.
0 votes 0 votes LU Decomposition is done on non singular matrix . It is singular so here it is not valid. hem chandra joshi answered Jan 16, 2018 hem chandra joshi comment Share Follow See all 0 reply Please log in or register to add a comment.