Manual

Functions and commands 383
basis Given a matrix, returns the basis of the linear subspace
defined by the set of vectors in the matrix.
basis(Matrix))
Example:
basis([[1,2,3],[4,5,6],[7,8,9],[10,11,12]])
gives [[-3,0,3],[0,-3,-6]]
black Used in the Symbolic view of the Geometry app. In the
definition of a geometric object, including the statement
“display=black” specifies that the object defined will be
drawn in black.
blue Used in the Symbolic view of the Geometry app. In the
definition of a geometric object, including the statement
“display=blue” specifies that the object defined will be drawn
in dark blue.
bounded_function Returns the argument returned by a limit function thereby
indicating that the function is bounded.
breakpoint Used in programming to insert an intentional stopping or
pausing point.
canonical_form Returns a second degree trinomial in canonical form.
canonical_form(QuadraticExpr,[Var])
Example:
canonical_form(2*x^2-12*x+1) gives 2*(x-3)^2-17
cat Evaluates the objects in a sequence, then returns them
concatenated as a string.
cat(Object1, Object2,…)
Example:
cat("aaa",c,12*3) gives "aaac36"
cFactor Returns an expression factorized over the complex field (on
Gaussian integers if there are more than two ).
cfactor(Expr)
Example:
cFactor(x^2*y+y) gives (x+i)*(x-i)*y