A question about Axiom capabilities

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Hello, I'm investigating several CA systems currently and I am wondering if
Axiom has certain capabilities.

Specifically:
(A) Differentiation through indefinite sums with respect to
indexed/subscripted variables. E.g., D( sum(p[i]*x[i],i)^2, j ) --> 2* p[j]
* sum(p[i]*x[i],i)
(B) Matrix Calculus. E.g.,
  D( sum( p[k] * multivariate_normal(mu[k], Sigma[k]), k), Sigma[j] ) -->
 Some large awful thing defined in equation 373 from the Matrix
Cookbook, Version:
November 14, 2008.

As I do some work with random variables and certainty equivalents, it would
be nice to find a CAS that allows me to easily double check my math.

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Hello, I'm investigating several CA systems currently and I am wonderin=
g if Axiom has certain capabilities.<div><br></div><div>Specifically:</div>=
<div>(A)=A0Differentiation through indefinite sums with respect=A0to indexe=
d/subscripted variables. E.g., D( sum(p[i]*x[i],i)^2, j ) --&gt; 2* p[j] * =
sum(p[i]*x[i],i)</div>
<div>(B) Matrix Calculus. E.g.,=A0<br>=A0 D( sum( p[k] * multivariate_norma=
l(mu[k], Sigma[k]), k), Sigma[j] ) --&gt; =A0Some large=A0awful=A0thing def=
ined in equation 373 from the Matrix Cookbook,=A0<span style=3D"background-=
color:rgb(255,255,255);color:rgb(34,34,34);font-family:arial,sans-serif;lin=
e-height:16px">Version: November 14, 2008.</span></div>
<div><span style=3D"background-color:rgb(255,255,255);color:rgb(34,34,34);f=
ont-family:arial,sans-serif;line-height:16px"><br></span></div><div><span s=
tyle=3D"background-color:rgb(255,255,255);color:rgb(34,34,34);font-family:a=
rial,sans-serif;line-height:16px">As I do some work with random variables a=
nd certainty equivalents, it would be nice to find a CAS that allows me to =
easily double check my math.</span></div>

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