Linsolve
inert matrix solve
Calling Sequence
Parameters
Description
Examples
Linsolve(A, b) mod n
Linsolve(A, b, 'r', 't') mod n
A
-
rectangular Matrix
b
Vector
'r'
(optional) name
't'
n
an integer, the modulus
The Linsolve function is a placeholder for representing the solution x to the linear system .
The call Linsolve(A,b) mod n computes the solution vector b if it exists of the linear system over a finite ring of characteristic n. This includes finite fields, , the integers mod p, and where elements of are expressed as polynomials in RootOfs.
If an optional third parameter r is specified, and it is a name, it is assigned the rank of the matrix A.
A linear system with an infinite set of solutions will be parametrized in terms of variables. Maple uses the global names _t[1], _t[2], ... are used by default. If an optional fourth parameter t is specified, and it is a name, the names t[1], t[2], etc. will be used instead.
An example using GF(2^4).
See Also
Gaussjord
Inverse
mod
Modular[LinearSolve]
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