By rearrange rows of B, I got P, and M=P'*P seems to have a nice pattern, M is singular though. Is it obvious why it is singular?
# Created by Octave 3.2.3, Sat Jul 17 18:31:46 2010 EDT
# name: M
# type: matrix
# rows: 8
# columns: 8
9 0 3 3 3 3 3 3
0 9 3 3 3 3 3 3
3 3 6 0 0 2 2 2...
Homework Statement
Are there references of the following structured matrix?
A =
1 0 1 0 0
1 0 0 1 0
1 0 0 0 1
0 1 1 0 0
0 1 0 1 0
0 1 0 0 1
;
Say we have group A=1,2; group B=1,2, 3; the rows of above matrix shows all possible selections: one element from each group. Hence A...
1. let f: R^n -> R, then f' is a vector and f'' is a matrix, how about f'''? it is a cube? I guess we have to use matrix notation for f'''. I have seen the notation " f'''(x)(h,h,h) ", which is a real number for sure. I have no clue how to operate it though. Any reference on third order...
1.
the p-norm for a vector x in R^n is defined usually:
|| x ||_p = (x_1^p + x_2^p + ... + x_n^p)^{1/p}
the question is to verify:
|| x ||_p <= || x ||_{p-1}
Homework Equations
I guess even more generally p-norm is a decreasing function in p for "any" x?
The...
Hey, guys, I installed CLAPACK on my Mac without much trouble. However it failes on solving this simple equation Ax = b, where A is singular, yet the routine dgesv_() didn't detect it. Can you test the case on you machine? Here is the input.
Matrix:
-10.0 -5.0
6.0 3.0
Vector:
0...