A module for Invertable Matrix
Invertable Matrix type
empty : InvertableMatrix a
Monoid empty for InvertableMatrix
identity : Field a -> Basics.Int -> InvertableMatrix a
Create Square Identity Matrix with n dimension
determinant : RowVector.VectorSpace a -> InvertableMatrix a -> Result String a
Try to calculate the determinant
dimension : InvertableMatrix a -> Basics.Int
Dimension of the matrix
isInvertable : RowVector.InnerProductSpace a -> NormalMatrix a -> Result String (NormalMatrix a)
Determine whether a matirx is invertable
scalarMultiplication : Field a -> a -> InvertableMatrix a -> InvertableMatrix a
Scalar multiplication over an InvertableMatrix Matrix
invert : RowVector.InnerProductSpace a -> InvertableMatrix a -> Result String (InvertableMatrix a)
Try to calculate the inverse of a matrix
add : Field a -> InvertableMatrix a -> InvertableMatrix a -> InvertableMatrix a
Add two InvertableMatrix together
multiply : RowVector.InnerProductSpace a -> InvertableMatrix a -> InvertableMatrix a -> InvertableMatrix a
Square Matrix Square Matrix multiplication
multiplyIfCan : RowVector.InnerProductSpace a -> InvertableMatrix a -> InvertableMatrix a -> Result String (InvertableMatrix a)
Invertable Matrix Invertable Matrix multiplication
multiplyMatrixVector : RowVector.InnerProductSpace a -> InvertableMatrix a -> ColumnVector a -> Result String (ColumnVector a)
Multiply a ColumnVector by a Matrix
getAt : ( Basics.Int, Basics.Int ) -> InvertableMatrix a -> Maybe a
Get the value in a matrix at the specified row and column
setAt : ( Basics.Int, Basics.Int ) -> a -> InvertableMatrix a -> InvertableMatrix a
Set the value in a Normal Matrix at the specified row and column
equal : (a -> a -> Basics.Bool) -> Typeclasses.Classes.Equality.Equality (InvertableMatrix a)
Compare two matricies using comparator
equalImplementation : (a -> a -> Basics.Bool) -> InvertableMatrix a -> InvertableMatrix a -> Basics.Bool
Compare two Matrices for equality
projXOntoSubspace : RowVector.InnerProductSpace a -> List (ColumnVector a) -> ColumnVector a -> Result String (ColumnVector a)
Calculate the projection of a vector onto a subspace given by a list of basis vectors as column vectors