Texas Instruments NS/CLM/1L1/B Reference Guide - Page 78
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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. If complex format mode is Real: Returns 1 if Value1 is positive. Returns ë1 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. 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 = ë1 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 floatingpoint entries and does not contain any symbolic variables that have not been assigned a value. Otherwise, tol is ignored. The solution is x=ë3 and y=2. 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: 5Eë14 ·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 = ë1 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 = ë3 solution for the corresponding system. Catalog > Catalog > For the first system, x=ë3 and y=2. For the second system, x=ë7 and y=9/2. 72 TI-Nspire™ Reference Guide