Creates an identity matrix.

An identity matrix is a square matrix with ones along the diagonal and zeroes elsewhere. Raises a compilation error if M and N are not the same (producing a square matrix).

Matrix(Int32, 3, 3).identity
# => [[1, 0, 0], [0, 1, 0], [0, 0, 1]]

Copies contents from another matrix.

Creates a new matrix by iterating through each element.

Yields the indices (i and j) for the matrix element. The block should return the value to use for the corresponding element.

Matrix(Int32, 3, 3).new { |i, j| i * 10 + j }
# => [[0, 1, 2], [10, 11, 12], [20, 21, 22]]

Creates a new matrix from nested collections.

The size of rows must be equal to the type argument M. Each row of elements in rows must have a size equal to the type argument N.

Matrix(Int32, 3, 2).new([[10, 20], [30, 40], [50, 60]])
# => [[10, 20], [30, 40], [50, 60]]
Matrix(Int32, 3, 2).new({{10, 20}, {30, 40}, {50, 60}})
# => [[10, 20], [30, 40], [50, 60]]

Creates a new matrix from a flat collection of elements.

The size of elements must be equal to M x N. Items in elements are consumed in row-major order.

Matrix(Int32, 3, 2).new([1, 2, 3, 4, 5, 6])
# => [[1, 2], [3, 4], [5, 6]]

Creates a new matrix with the diagonal elements set to a scalar value.

The main diagonal will be filled with scalar. All other elements will be zeroes. Raises a compilation error if M and N are not the same (producing a square matrix).

Matrix(Int32, 3, 3).new(5)
# => [[5, 0, 0], [0, 5, 0], [0, 0, 5]]

Creates a matrix filled with zeroes.

Matrix(Int32, 2, 2).zero
# => [[0, 0], [0, 0]]

Constructs a matrix with existing elements.

The type of the elements is specified by the type parameter. Each value is cast to the type T.

Matrix(Float32, 3, 3)[[1, 2, 3], [4, 5, 6], [7, 8, 9]]
# => [[1.0, 2.0, 3.0], [4.0, 5.0, 6.0], [7.0, 8.0, 9.0]]

Multiplies this matrix by another.

The other matrix's row count (M) must be equal to this matrix's column count (N). Produces a new matrix with the row count from this matrix and the column count from other. Matrices can be of any size and type as long as this condition is met.

Values will wrap instead of overflowing and raising an error.

m1 = Matrix[[1, 2, 3], [4, 5, 6]]
m2 = Matrix[[1, 2], [3, 4], [5, 6]]
m1 &* m2 # => [[28, 29], [49, 64]]

Multiplies this matrix by another.

The other matrix's row count (M) must be equal to this matrix's column count (N). Produces a new matrix with the row count from this matrix and the column count from other. Matrices can be of any size and type as long as this condition is met.

m1 = Matrix[[1, 2, 3], [4, 5, 6]]
m2 = Matrix[[1, 2], [3, 4], [5, 6]]
m1 * m2 # => [[28, 29], [49, 64]]

Returns a new matrix with elements mapped by the given block.

matrix = Matrix[[1, 2], [3, 4], [5, 6]]
matrix.map { |e| e * 2 } # => [[2, 4], [6, 8], [10, 12]]

Returns a smaller matrix by removing a row and column.

The row indicated by i and the column indicated by j are removed in the resulting matrix. This method can only be called if the matrix has two or more rows and columns.

matrix = Matrix[[1, 2, 3], [4, 5, 6], [7, 8, 9]]
matrix.sub(1, 1) # => [[1, 3], [7, 9]]

Returns a slice that points to the elements in this matrix.

Returns a pointer to the data for this matrix.

The elements are tightly packed and ordered consecutively in memory.

Returns a new matrix that is transposed from this one.

matrix = Matrix[[1, 2, 3], [4, 5, 6]]
matrix.transpose # => [[1, 4], [2, 5], [3, 6]]

Retrieves the scalar value of the component at the given index, without checking size boundaries.

End-users should never invoke this method directly. Instead, methods like #[] and #[]? should be used.

This method should only be directly invoked if the index is certain to be in bounds.

Constructs a matrix with existing elements.

The type of the components is derived from the type of each argument. The size of the vector is determined by the number of components.

Matrix[[1, 2, 3], [4, 5, 6], [7, 8, 9]]
# => [[1, 2, 3], [4, 5, 6], [7, 8, 9]]