muscat v0.3.0

Muscat.AugmentedMatrix (muscat v0.3.0) View Source

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Types

element()
matrix()
rref_result()
solution()

Functions

element_number(coefficient_matrix)
new(augmented_matrix)

Create augmented matrix by augmented matrix list

new(coefficient_matrix, constant_column)

Create augmented matrix by coefficient matrix list and constant column list

rank(matrix)
rref(matrix, opts \\ [])

Reduce a augmented matrix into reduced row echelon form and give the equation solution.

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element()

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Specs

element() :: Muscat.Fraction.fraction_tuple() | integer()
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matrix()

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Specs

matrix() :: [Muscat.Matrix.Cell.t(), ...]
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rref_result()

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Specs

rref_result() ::
  {:ok, solution()}
  | {:error, :no_solution}
  | {:error, :infinite_solutions}
  | {:error, :approximate_solution}
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solution()

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Specs

solution() :: [Muscat.Fraction.t() | float()]

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element_number(coefficient_matrix)

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new(augmented_matrix)

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Specs

new(augmented_matrix :: [[element(), ...], ...]) :: matrix()

Create augmented matrix by augmented matrix list

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new(coefficient_matrix, constant_column)

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Specs

new(
  coefficient_matrix :: [[element(), ...], ...],
  constant_column :: [element(), ...]
) :: matrix()

Create augmented matrix by coefficient matrix list and constant column list

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rank(matrix)

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rref(matrix, opts \\ [])

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Specs

rref(augmented_matrix :: matrix(), opts :: keyword()) :: rref_result()

Reduce a augmented matrix into reduced row echelon form and give the equation solution.

Options

  • :value_type - The result value type, :float(default), :fraction.
  • :precision - If the result_type is :float, round the float.