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Functions and commands 389
egcd Given two polynomials, A and B, returns three polynomials U,
V and D such that:
U(x)*A(x)+V(x)*B(x)=D(x),
where D(x)=GCD(A(x),B(x)), the greatest common
divisor of polynomials A and B.
The polynomials can be provided in symbolic form or as lists
of coefficients in descending order.
Without a third argument, it is assumed that the polynomials
are expressions of x. With a variable as third argument, the
polynomials are expressions of it.
egcd((PolyA, PolyB, [Var]) or egcd(ListA,
ListB, [Var])
Example:
egcd((x-1)^2,x^3-1) gives [-x-2,1,3*x-3]
eigenvals Returns the sequence of eigenvalues of a matrix.
eigenvals(Matrix)
Example:
eigenvals returns [3 -3 -3]
eigenvects Returns the eigenvectors of a diagonalizable matrix.
eigenvects(Matrix)
Example:
eigenvects returns
eigVl Returns the Jordan matrix associated with a matrix when the
eigenvalues are calculable.
eigVl(Matrix)
EVAL Evaluates an expression.
eval(Expr)
Example:
eval(2+3) returns 5
2– 2– 1
2– 12–
12– 2–
2– 2– 1
2– 12–
12– 2–
13– 3–
2– 03–
13 3–