MathAction #231 simplify working on matrices

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Editor: kratt6 Time: 2007/12/28 15:03:36 GMT-8
Note:

added:

From kratt6 Fri Dec 28 15:03:35 -0800 2007
From: kratt6
Date: Fri, 28 Dec 2007 15:03:35 -0800
Subject: 
Message-ID: <20071228150335-0800@axiom-wiki.newsynthesis.org>

Category: New feature request => Axiom Library

It would be very nice if function simplify could operate on matrices, simplifying each element.

use map --Bill Page, Sat, 12 Nov 2005 17:54:29 -0600 reply

axiom

A:=matrix _
 [[tan(x)**6 + 3*tan(x)**4 + 3*tan(x)**2 + 1, _
   tan(x)**5 + 3*tan(x)**3 + 3*tan(x)], _
  [tan(x)**4 + 3*tan(x)**2, _
   tan(x)**3 + 3*tan(x)]]

$\label{eq1}\left[ \begin{array}{cc} {{{\tan \left({x}\right)}^6}+{3 \ {{\tan \left({x}\right)}^4}}+{3 \ {{\tan \left({x}\right)}^2}}+ 1}&{{{\tan \left({x}\right)}^5}+{3 \ {{\tan \left({x}\right)}^3}}+{3 \ {\tan \left({x}\right)}}} \ {{{\tan \left({x}\right)}^4}+{3 \ {{\tan \left({x}\right)}^2}}}&{{{\tan \left({x}\right)}^3}+{3 \ {\tan \left({x}\right)}}}$

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Type: Matrix(Expression(Integer))

axiom

map(simplify,A)

$\label{eq2}\left[ \begin{array}{cc} {1 \over{{\cos \left({x}\right)}^6}}&{{{\left({{\cos \left({x}\right)}^4}+{{\cos \left({x}\right)}^2}+ 1 \right)}\ {\sin \left({x}\right)}}\over{{\cos \left({x}\right)}^5}} \ {{-{2 \ {{\cos \left({x}\right)}^4}}+{{\cos \left({x}\right)}^2}+ 1}\over{{\cos \left({x}\right)}^4}}&{{{\left({2 \ {{\cos \left({x}\right)}^2}}+ 1 \right)}\ {\sin \left({x}\right)}}\over{{\cos \left({x}\right)}^3}}$

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Type: Matrix(Expression(Integer))

feature present via trivial transformation --kratt6, Sun, 13 Nov 2005 11:47:57 -0600 reply

Status: open => closed

... --kratt6, Fri, 28 Dec 2007 15:03:35 -0800 reply

Category: New feature request => Axiom Library

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