Re: How can I perform Matrix comparison?Can any one with kindness help
- To: mathgroup at smc.vnet.net
- Subject: [mg114816] Re: How can I perform Matrix comparison?Can any one with kindness help
- From: Bill Rowe <readnews at sbcglobal.net>
- Date: Fri, 17 Dec 2010 23:48:52 -0500 (EST)
On 12/17/10 at 3:29 AM, fmingu at 163.com (fmingu) wrote:
>I am using mathematica for practical purpose. I wonder how can I
>perform Matrix comparison.
>For instance:
>a={{2,3},{4,5}};
>b={{1,2},{2,3}};
>a>b I want the result is True. But it seems that Mathematica can not
>recognize it. I do not know how I can solve it? Are there any
>additional package to be added? Can any one with kindness help me?
The result of a>b isn't defined in Mathematics when a and b are
matrices. So, it should be no surprise there isn't a built in
function or package to do this comparison. But there are a
number of ways to achieve the desired result. For example:
In[7]:= And @@ Flatten@Map[Less, Transpose[{a, b}, {1, 3, 2}], {2}]
Out[7]= True
or
In[8]:= And @@ (Greater @@@ Transpose[Flatten /@ {a, b}])
Out[8]= True