CASCALC89 COMMAND · NOT ON THE TI-89
charPoly(
Returns the characteristic polynomial of a square matrix in the given variable. Its zeros are the eigenvalues of the matrix.
Syntax
charPoly(squareMatrix, Var or Expr)
- Group
- Matrix
- Arguments
- Takes a square matrix and the variable or expression for the polynomial.
- Availability
- Included
- Origin
- TI-Nspire CAS style command; the TI-89 Titanium handheld does not have it
Example
| Input | Result |
|---|---|
| charPoly([1,2;3,4],x) | x2−5·x−2 |
Typing charPoly([1,2;3,4],x) on the home screen and pressing ENTER returns x2−5·x−2.
Related commands
- colAugment(Stacks two matrices vertically, appending the rows of the second below the first.
- colDim(Returns the number of columns of a matrix.
- colNorm(Returns the column norm of a matrix, the largest sum of the absolute values of the entries in any column.
- constructMat(Builds a matrix by evaluating an expression in two index variables for every row and column position.
- crossP(Returns the cross product of two vectors.
- det(Returns the determinant of a square matrix.
- diag(Returns the main diagonal of a square matrix as a row vector.
- dim(Returns the dimensions of a matrix as {rows, columns}, or the number of elements of a list.