Creates a empty matrix of row_count x column_count. At least one of row_count or column_count must be 0.
m = Matrix.empty(2, 0) m == Matrix[ [], [] ] => true n = Matrix.empty(0, 3) n == Matrix.columns([ [], [], [] ]) => true m * n => Matrix[[0, 0, 0], [0, 0, 0]]
Returns true if this is a diagonal matrix. Raises an error if matrix is not square.
Returns true if this is an empty matrix, i.e. if the number of rows or the number of columns is 0.
Returns true if this is an orthogonal matrix Raises an error if matrix is not square.
Returns true if this is a regular (i.e. non-singular) matrix.
Returns true if this is a singular matrix.
Returns true if this is a square matrix.
Returns true if this is a unitary matrix Raises an error if matrix is not square.
Returns true if this is a matrix with only zero elements
Returns a clone of the matrix, so that the contents of each do not reference identical objects. There should be no good reason to do this since Matrices are immutable.
Returns the determinant of the matrix.
Beware that using Float values can yield erroneous results because of their lack of precision. Consider using exact types like Rational or BigDecimal instead.
Matrix[[7,6], [3,9]].determinant => 45
deprecated; use Matrix#determinant
Returns the transpose of the matrix.
Matrix[[1,2], [3,4], [5,6]]
=> 1 2
3 4
5 6
Matrix[[1,2], [3,4], [5,6]].transpose
=> 1 3 5
2 4 6
Returns the conjugate of the matrix.
Matrix[[Complex(1,2), Complex(0,1), 0], [1, 2, 3]]
=> 1+2i i 0
1 2 3
Matrix[[Complex(1,2), Complex(0,1), 0], [1, 2, 3]].conjugate
=> 1-2i -i 0
1 2 3
Returns the imaginary part of the matrix.
Matrix[[Complex(1,2), Complex(0,1), 0], [1, 2, 3]]
=> 1+2i i 0
1 2 3
Matrix[[Complex(1,2), Complex(0,1), 0], [1, 2, 3]].imaginary
=> 2i i 0
0 0 0
The coerce method provides support for Ruby type coercion. This coercion mechanism is used by Ruby to handle mixed-type numeric operations: it is intended to find a compatible common type between the two operands of the operator. See also Numeric#coerce.
Returns a copy of the vector.
The coerce method provides support for Ruby type coercion. This coercion mechanism is used by Ruby to handle mixed-type numeric operations: it is intended to find a compatible common type between the two operands of the operator. See also Numeric#coerce.
Returns a two-element array containing the beginning and ending offsets of the nth match. n can be a string or symbol to reference a named capture.
m = /(.)(.)(\d+)(\d)/.match("THX1138.") m.offset(0) #=> [1, 7] m.offset(4) #=> [6, 7] m = /(?<foo>.)(.)(?<bar>.)/.match("hoge") p m.offset(:foo) #=> [0, 1] p m.offset(:bar) #=> [2, 3]
Returns the array of captures; equivalent to mtch.to_a[1..-1].
f1,f2,f3,f4 = /(.)(.)(\d+)(\d)/.match("THX1138.").captures f1 #=> "H" f2 #=> "X" f3 #=> "113" f4 #=> "8"
Returns the path to the data store file.