Linsolve - Maple Help
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Linsolve

inert matrix solve

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

Linsolve(A, b) mod n

Linsolve(A, b, 'r', 't') mod n

Parameters

A

-

rectangular Matrix

b

-

Vector

'r'

-

(optional) name

't'

-

(optional) name

n

-

an integer, the modulus

Description

• 

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.

Examples

(1)

(2)

(3)

(4)

(5)

(6)

(7)

An example using GF(2^4).

(8)

(9)

(10)

(11)

(12)

See Also

Gaussjord

Inverse

mod

Modular[LinearSolve]

 


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