NAME

Sidef::Types::Array::Matrix

DESCRIPTION

This class implements ...

SYNOPSIS

            

              
              
var A = Matrix(
    [2, -3,  1],
    [1, -2, -2],
    [3, -4,  1],
)
var B = Matrix(
    [9, -3, -2],
    [3, -1,  7],
    [2, -4, -8],
)
say (A + B)     # matrix addition
say (A - B)     # matrix subtraction
say (A * B)     # matrix multiplication
say (A / B)     # matrix division
say (A + 42)    # matrix-scalar addition
say (A - 42)    # matrix-scalar subtraction
say (A * 42)    # matrix-scalar multiplication
say (A / 42)    # matrix-scalar division
say A**20       # matrix exponentation
say A**-1       # matrix inverse: A^-1
say A**-2       # (A^2)^-1
say B.det             # matrix determinant
say B.solve([1,2,3])  # solve a system of linear equations
            
          

INHERITS

Inherits methods from:

            

              
              
* Sidef::Types::Array::Array
            
          

METHODS

%

            

              
              
a % b
            
          

Returns the

Aliases: mod

&

            

              
              
a & b
            
          

Returns the

Aliases: and

*

            

              
              
a * b
            
          

Returns the

Aliases: mul

**

            

              
              
a ** b
            
          

Returns the

Aliases: pow

+

            

              
              
a + b
            
          

Returns the

Aliases: add

-

            

              
              
a - b
            
          

Returns the

Aliases: sub

/

            

              
              
a / b
            
          

Returns the

Aliases: ÷, div

^

            

              
              
a ^ b
            
          

Returns the

Aliases: xor

I

            

              
              
Matrix.I(n)
            
          

Returns the

Aliases: identity

|

            

              
              
a | b
            
          

Returns the

Aliases: or

abs

            

              
              
m1.abs
            
          

Returns the

anti_diagonal

            

              
              
self.anti_diagonal
            
          

Returns the

build

            

              
              
Matrix.build(n, m, block)
            
          

Returns the

ceil

            

              
              
self.ceil
            
          

Returns the

col

            

              
              
self.col(n)
            
          

Returns the

Aliases: column, get_column

col_len

            

              
              
A.col_len
            
          

Returns the

Aliases: col_size, col_count, column_len, column_size, column_count

cols

            

              
              
self.cols(*cols)
            
          

Returns the

Aliases: columns, from_cols, from_columns

col_vector

            

              
              
Matrix.col_vector(*list)
            
          

Returns the

Aliases: column_vector

concat

            

              
              
m1.concat(m2)
            
          

Returns the

det

            

              
              
self.det
            
          

Returns the

Aliases: determinant

det_bareiss

            

              
              
self.det_bareiss
            
          

Returns the

diagonal

            

              
              
self.diagonal
            
          

Returns the

flip

            

              
              
self.flip
            
          

Returns the

floor

            

              
              
self.floor
            
          

Returns the

gauss_jordan_invert

            

              
              
self.gauss_jordan_invert
            
          

Returns the

gauss_jordan_solve

            

              
              
self.gauss_jordan_solve(vector)
            
          

Returns the

horizontal_flip

            

              
              
self.horizontal_flip
            
          

Returns the

inv

            

              
              
self.inv
            
          

Returns the

Aliases: invert, inverse

invmod

            

              
              
self.invmod(mod)
            
          

Returns the

is_square

            

              
              
self.is_square
            
          

Returns the

neg

            

              
              
m1.neg
            
          

Returns the

new

            

              
              
self.new
            
          

Returns the

Aliases: call

powmod

            

              
              
A.powmod(pow, mod)
            
          

Returns the

prod

            

              
              
A.prod(block)
            
          

Returns the

Aliases: prod_by

rand

            

              
              
Matrix.rand(n, m)
            
          

Returns the

row

            

              
              
self.row(n)
            
          

Returns the

Aliases: get_row

row_len

            

              
              
A.row_len
            
          

Returns the

Aliases: row_size, row_count

rows

            

              
              
self.rows(*rows)
            
          

Returns the

Aliases: from_rows

row_vector

            

              
              
Matrix.row_vector(*list)
            
          

Returns the

rref

            

              
              
self.rref
            
          

Returns the

Aliases: reduced_row_echelon_form

scalar

            

              
              
Matrix.scalar(n, value)
            
          

Returns the

set_col

            

              
              
A.set_col(k, col)
            
          

Returns the

Aliases: set_column

set_row

            

              
              
A.set_row(k, row)
            
          

Returns the

size

            

              
              
self.size
            
          

Returns the

solve

            

              
              
self.solve(vector)
            
          

Returns the

sum

            

              
              
A.sum(block)
            
          

Returns the

Aliases: sum_by

t

            

              
              
matrix.t
            
          

Returns the

Aliases: not, transpose

to_a

            

              
              
A.to_a
            
          

Returns the

Aliases: to_array

to_s

            

              
              
self.to_s
            
          

Returns the

Aliases: dump, to_str

vec_cols

            

              
              
self.vec_cols
            
          

Returns the

Aliases: vec_columns, vector_columns

vec_rows

            

              
              
self.vec_rows
            
          

Returns the

Aliases: vector_rows

vertical_flip

            

              
              
self.vertical_flip
            
          

Returns the

zero

            

              
              
Matrix.zero(n, m)
            
          

Returns the

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