Matrix[M; N] = array[M, array[N, float]]

Vector[M] = array[M, float]

proc `$`(matrix: Matrix): string

proc rows(matrix: Matrix): int

proc cols(matrix: Matrix): int

proc shape(matrix: Matrix): (int, int)

proc `[]`(matrix: Matrix; row, col: int): float

proc `[]=`(matrix: var Matrix; row, col: int; value: float)

proc transpose[M, N](matrix: Matrix[M, N]): Matrix[N, M]

proc `+`(a, b: Matrix): Matrix

proc `+`[N](a, b: Vector[N]): Vector[N]

proc `-`[N](a, b: Vector[N]): Vector[N]

proc `*`[M, N](A: Matrix[M, N]; b: Vector[N]): Vector[M]

proc `*`[M, P, N](a: Matrix[M, P]; b: Matrix[P, N]): Matrix[M, N]

proc `*`(a: Matrix; b: float): Matrix

proc `*`[N](a: float; b: Vector[N]): Vector[N]

proc determinant(a: Matrix[2, 2]): float {...}{.raises: [], tags: [].}

proc inv(a: Matrix[2, 2]): Matrix[2, 2] {...}{.raises: [], tags: [].}