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The X-Philes Number 1 (1995).iso
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symbmat2.doc
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1995-03-31
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(Comp.sys.handhelds) Option:
Item: 3447
Subj: Symbolic Matrix Utilities
----------
Resp: 1 of 1 by blair at en.ecn.purdue.edu
Author: [Marc E Blair]
Date: Thu Jun 13 1991 12:14
This is a newer version which allows symbolics in solving simeq and also
simplifies answers further than the old program.
->Q This program toggles fraction mode (a little block appears to indicate
fraction mode) otherwise straight decimals will be used. Fractions can
eat up memory on lengthy calculations.
det returns a determinant of a matrix. It behaves much like the routine
Eliel Louzouen wrote a while back, although I wrote this with speed
as first priority. The approach I used resulted in a twelvefold
increase in speed with numeric evaluation and a threefold increase in
symbolic evaluation than the original routines.
simeq solves a system of equations in matrix format... i.e. 4x+5y=9 and
3x+2y=10 would be entered { { 4 5 9 } { 3 2 10 } } and evaluated
returning { '32/7' '-(13/7)' } meaning x=32/7 and y=-13/7.
The program uses matrices to solve if there are less than five
variables, >5 results in row reduction. (this way a ten variable
equation takes 5 minutes, matrix methods would take 25 days)
rr row reduction program to reduce matrices into row-echelon form.
symbolic row reduction is supported.
inv invert a matrix using row reduction techniques
mec expand and collect and evaluate all items in a matrix to their most
simple form
----- All other variables are subprograms.
I am not repsonsible for memory loss, hardware trouble, loss of math abilities,
sudden shifts in the space-time continuum, or other problems which might occur
due to the use of this program but in all likelihood will never happen.
enjoy!
[Note: See also SYMBMAT on Goodies Disk #1 for another approach. -jkh-]