ZigangPan/NonlinearSystems | Paclet Repository

ZigangPan`NonlinearSystems`

myMatrixRank

{

r

,

r0

}=myMatrixRank[mat,xc,x0] calculates the minimal rank of the matrix

mat

, which as a function of vector

xc

, and returns it as

r

, and the rank of the matrix

mat

when

xc

is equal to a numeric vector

x0

, and returns it as

r0

. By minimal rank, I mean that it is the minimal rank for the matrix

mat

when

xc

is any given possible value according to $Assumptions.

Examples

(1)

Basic Examples

(1)

In[1]:=

mat={{x1,1},{-x1,1},{1-x2,x1}}

Out[1]=

{{x1,1},{-x1,1},{1-x2,x1}}

In[2]:=

myMatrixRank

[mat,{x1,x2},{0,0}]

Out[2]=

{1,2}

SeeAlso

▪

ResourceFunction["LinearlyIndependent"]

RelatedGuides

▪

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