Re: Manipulate with Matrices

*To*: mathgroup at smc.vnet.net*Subject*: [mg113620] Re: Manipulate with Matrices*From*: roby <roby.nowak at gmail.com>*Date*: Fri, 5 Nov 2010 05:10:38 -0500 (EST)*References*: <iatt2b$egc$1@smc.vnet.net>

What ever this should be good for but perhaps it is this what you want: you can specify the n x n matrix to be the sum of a scalar multiple of the identity matrix and a constant matrix. It shows you the matrix its inverse and its determinat. Manipulate[k IdentityMatrix[n]+ConstantArray[l,{n,n}]//{#// MatrixForm,#//Inverse//MatrixForm,#//Det}&//Column, {{n,1},1,10,1}, {{k,0},0,10,1}, {{l,1},0,10,1} ] On 4 Nov., 10:06, Jay <jaie... at gmail.com> wrote: > I would like to use Manipulate on matrices. For instance, allow the > user to choose elements of a 50 by 50 matrix, and Manipulate shows the > dynamic inverse or transpose or determinant or whatever of the so > manipulated matrix. But I do not wish to specify ranges for the 2500 > elements separately, but rather using matrices as objects. > > For instance, I would like the user to choose a 5 by 5 matrix, whereby > the range goes from the zero matrix to the matrix with all elements > equal to 100, with initial matrix the identity matrix: > > Manipulate[ > Det[nn], {{nn, IdentityMatrix[5]}, ConstantArray[0, {5, 5}], > ConstantArray[100, {5, 5}]}] > > How can this be accomplished? How do I tell Mathematica that nn is a 5 > by 5 matrix to start with? I would have hoped that the > initial value shows it is a 5 by 5 matrix, but I think that does not > work quite so automatically. > > In that sense, neither the following works, > > Manipulate[FullSimplify[Det[Array[nn, {5, 5}]]], {nn}] > > Any help much appreciated! > > Jay