4-62 Computer Algebra Commands
Access: !ÞPOLY !«
Input: Level 2/Argument 1: The first polynomial.
Level 1/Argument 2: The second polynomial.
Output: The determinant of the two matrices that correspond to the polynomials.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag -3 clear).
Complex mode must be set (flag –103 set) if either input contains complex terms.
Example: Obtain the resultant of the two polynomials
x
3
-px+q and 3x
2
-p.
Command:
RESULTANT(X^3-P*X+Q, 3*X^2-P)
Result: 27*Q^2-4*P^3
REWRITE
Type: Command
Description: Displays a menu or list of CAS operations that rewrite expressions.
Access: Catalog, …µ
Flags: If the CHOOSE boxes flag is clear (flag –117 clear), displays the operations as a numbered
list. If the flag is set, displays the operations as a menu of function keys.
See also: ALGB, ARIT, CONSTANTS, DIFF, EXP&LN, INTEGER, MAIN, MATHS, MATR,
MODULAR, POLYNOMIAL, TESTS, TRIGO
RISCH
Type: Function
Description: Performs symbolic integration on a function using the Risch algorithm. RISCH is similar to
the INTVX command, except that it allows you to specify the variable of integration.
Access: Calculus !Ö
DERIV. & INTEG L.
Input: Level 2/Argument 1: The function to integrate.
Level 1/Argument 2: The variable of integration.
Output: The antiderivative of the function with respect to the variable.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag -3 clear).
Radians mode must be set (flag –17 set).
Example: Find the antiderivative of the following function, with respect to y:
y
2
3y 2++
Command:
RISCH(Y^2-3*Y+2,Y)
Result: 1/3*Y^3-3*(1/2*Y^2)+2*Y
See also: IBP, INT, INTVX
RREF
Type: Command
Description: Reduces a matrix to row-reduced echelon form. The reduction is carried out completely, so a
square matrix is reduced to an identity matrix. Step-by-step mode can be used to show how
the reduction proceeds.
Access: Matrices,
!Ø LINEAR SYSTEMS, !´ MATRX FACTR
Input: A matrix.
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