HP Prime Graphing NW280AAABA Reducedconicx2+2*x-2*y+1 returns, RefMatrix, ReorderExpr, Vector

reduced_conic Takes a conic expression and returns a vector with the following items:

•The origin of the conic

•The matrix of a basis in which the conic is reduced

•0 or 1 (0 if the conic is degenerate)

•The reduced equation of the conic

•A vector of the conic’s parametric equations reduced_conic(Expr, [Vector])

Example:

reduced_conic(x^2+2*x-2*y+1) returns

⎡

0 1⎤

1 y

2

⎡

⎛

−

1

⎞

x − 4 4 0.1 x

2

⎛ −1

⎞

⎤

[[−1 0]] ⎢

⎥

+ 2 ⋅ x ⎢−1

+ −i ⋅ ⎜

2

⋅ x ⋅ x + i ⋅ x ⎟

+ 2 ⋅ x − 2 ⋅ y +1 −1+ (−i) ⋅ ⎜

2

⋅ x ⋅ x + (i) ⋅ x ⎟

⎥

⎣−1 0⎦

⎣

⎝

⎠

⎝

⎠

⎦

ref Returns the solution to a system of linear equations written in matrix form.

ref(Matrix)

Example:

	3 1 –2		1	1 –2
ref		returns		--- ------
	3 2 2			3	3
			0	1	2

remove Given an element and a list or vector, removes any occurrence of that element in the list or vector and returns the result.

remove(Element, Vector) or remove(Element, List)

Example:

remove(6,[1 2 6 7]) returns [1 2 7]

reorder Given an expression and a vector of variables, reorders the variables in the expression according to the order given in the vector.

reorder(Expr, Vector)

Example:

reorder(x2+2*x+y2,[y,x]) gives y2+x2+2*x

412 Functions and commands