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LinearAlgebra[Generic]

  

MatrixInverse

  

compute the inverse of a square Matrix

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

MatrixInverse[F](A)

Parameters

F

-

the domain of computation, a field

A

-

rectangular Matrix over values in F

Description

• 

MatrixInverse(A) computes the matrix inverse of the Matrix A over the field F.

• 

The (indexed) parameter F, which specifies the domain of computation, a field, must be a Maple table/module which has the following values/exports:

  

F[`0`]: a constant for the zero of the ring F

  

F[`1`]: a constant for the (multiplicative) identity of F

  

F[`+`]: a procedure for adding elements of F (nary)

  

F[`-`]: a procedure for negating and subtracting elements of F (unary and binary)

  

F[`*`]: a procedure for multiplying two elements of F (commutative)

  

F[`/`]: a procedure for dividing two elements of F

  

F[`=`]: a boolean procedure for testing if two elements in F are equal

Examples

withLinearAlgebra[Generic]:

Q`0`,Q`1`,Q`+`,Q`-`,Q`*`,Q`/`,Q`=`0,1,`+`,`-`,`*`,`/`,`=`

Q0,Q1,Q`+`,Q`-`,Q`*`,Q`/`,Q`=`:=0,1,`+`,`-`,`*`,`/`,`=`

(1)

AMatrix1,2,3,2,1,2,3,2,1

A:=123212321

(2)

MatrixInverse[Q]A

38121812112181238

(3)

See Also

LinearAlgebra[Generic]

LinearAlgebra[MatrixInverse]

 


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