Texas Instruments TINSPIRE Reference Guide - Page 98

Note: See also, Catalog &gt, simult - cx calculator

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sign( ) sign(Value1) ⇒ value sign(List1) ⇒ list sign(Matrix1) ⇒ matrix For real and complex Value1, returns Value1 / abs(Value1) when Value1 ƒ 0. Returns 1 if Value1 is positive. Returns L1 if Value1 is negative. sign(0) returns „1 if the complex format mode is Real; otherwise, it returns itself. If complex format mode is Real: sign(0) represents the unit circle in the complex domain. For a list or matrix, returns the signs of all the elements. simult( ) simult(coeffMatrix, constVector[, Tol]) ⇒ matrix Returns a column vector that contains the solutions to a system of linear equations. Solve for x and y: x + 2y = 1 3x + 4y = L1 Note: See also linSolve(), page 55. coeffMatrix must be a square matrix that contains the coefficients of the equations. The solution is x=L3 and y=2. constVector must have the same number of rows (same dimension) as coeffMatrix and contain the constants. Optionally, any matrix element is treated as zero if its absolute value is less than Tol. This tolerance is used only if the matrix has floatingpoint entries and does not contain any symbolic variables that have not been assigned a value. Otherwise, Tol is ignored. Solve: ax + by = 1 cx + dy = 2 • If you set the Auto or Approximate mode to Approximate, computations are done using floating-point arithmetic. • If Tol is omitted or not used, the default tolerance is calculated as: 5EL14 ·max(dim(coeffMatrix)) ·rowNorm(coeffMatrix) simult(coeffMatrix, constMatrix[, Tol]) ⇒ matrix Solves multiple systems of linear equations, where each system has the same equation coefficients but different constants. Solve: x + 2y = 1 3x + 4y = L1 Each column in constMatrix must contain the constants for a system x + 2y = 2 of equations. Each column in the resulting matrix contains the 3x + 4y = L3 solution for the corresponding system. Catalog > Catalog > For the first system, x=L3 and y=2. For the second system, x=L7 and y=9/2. 92 TI-Nspire™ Reference Guide

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92
TI-Nspire™ Reference Guide
sign()
Catalog >
sign(
Value1
)
⇒
value
sign(
List1
)
⇒
list
sign(
Matrix1
)
⇒
matrix
For real and complex
Value1
, returns
Value1
/
abs(
Value1
)
when
Value1
ƒ
0.
Returns 1 if
Value1
is positive.
Returns
L
1 if
Value1
is negative.
sign(0)
returns
„
1 if the complex format mode is Real; otherwise, it
returns itself.
sign(0)
represents the unit circle in the complex domain.
For a list or matrix, returns the signs of all the elements.
If complex format mode is Real:
simult()
Catalog >
simult(
coeffMatrix
,
constVector
[
,
Tol
]
)
⇒
matrix
Returns a column vector that contains the solutions to a system of
linear equations.
Note: See also
linSolve()
, page 55.
coeffMatrix
must be a square matrix that contains the coefficients of
the equations.
constVector
must have the same number of rows (same dimension)
as
coeffMatrix
and contain the constants.
Optionally, any matrix element is treated as zero if its absolute value
is less than
Tol
. This tolerance is used only if the matrix has floating-
point entries and does not contain any symbolic variables that have
not been assigned a value. Otherwise,
Tol
is ignored.
•
If you set the
Auto or Approximate
mode to Approximate,
computations are done using floating-point arithmetic.
•
If
Tol
is omitted or not used, the default tolerance is calculated
as:
5E
L
14
·
max(dim(
coeffMatrix
))
·
rowNorm(
coeffMatrix
)
Solve for x and y:
x + 2y = 1
3x + 4y =
L
1
The solution is x=
L
3 and y=2.
Solve:
ax + by = 1
cx + dy = 2
simult(
coeffMatrix
,
constMatrix
[
,
Tol
]
)
⇒
matrix
Solves multiple systems of linear equations, where each system has
the same equation coefficients but different constants.
Each column in
constMatrix
must contain the constants for a system
of equations. Each column in the resulting matrix contains the
solution for the corresponding system.
Solve:
x + 2y = 1
3x + 4y =
L
1
x + 2y = 2
3x + 4y =
L
3
For the first system, x=
L
3 and y=2. For the second system, x=
L
7
and y=9/2.