HP Prime Graphing NW280AAABA manual Eigenvals Returns the sequence of eigenvalues of a matrix

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:

	⎛	–2 –2	1	⎞
eigenvals	⎜			⎟	returns [3 -3-3]
	⎜⎜	–2 1	–2	⎟⎟
	⎝	1 –2	–2	⎠

eigenvects Returns the eigenvectors of a diagonalizable matrix.

eigenvects(Matrix)

Example:

⎛⎜ –2 –2 1 ⎞⎟

eigenvects ⎜⎜ –2 1 –2⎟⎟ returns ⎝ 1 –2–2⎠

1–3 –3

–2 0 –3

13 –3

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

Functions and commands 389