HP Prime Graphing Calculator User Manual

Page 388

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384

Functions and commands

e

Enters the mathematical constant e (Euler’s number).

egcd

Returns three polynomials U, V and D such that for two

polynomials A and B:
U(x)*A(x)+V(x)*B(x)=D(x)=GCD(A(x),B(x))
(where GCD(A(x),B(x) is the greatest common divisor of

polynomials A and B).
The polynomials can be provided in symbolic form or as lists.

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((Poly or Lst(A)),(Poly or Lst(B)),[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(Mtrx)

Example:

eigenvals([[-2,-2,1],[-2,1,-2],[1,-2,-2]])

gives

3,-3,-3

eigenvects

Returns the eigenvectors of a diagonalizable matrix.

eigenvects(Mtrx)

eigVc

Returns the eigenvectors of a diagonalizable matrix.

eigVc(Mtrx)

eigVl

Returns the Jordan matrix associated with a matrix when the

eigenvalues are calculable.

eigVl(Mtrx)

element

Shows a point on a curve or a real in an interval.

element((Curve or Real_interval),(Pnt or
Real))

Example:

element(0..5)

creates a value of 2.5 initially. Tapping

on this value and pressing Enter enables you to press a

cursor key to increase or decrease the value in a manner

similar to a slider bar. Press Enter again to close the

slider bar. The value you set can be used as a coefficient

in a function you subsequently plot.

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