CASTI-89 TITANIUM · CALC89
rref(
Returns the reduced row echelon form of a matrix. Applied to an augmented matrix, it solves a system of linear equations.
Syntax
rref(expr)
- Group
- Matrix
- Arguments
- Takes one matrix.
- Availability
- Included
- Menu path
- MATH ▸ Matrix ▸ CAS ▸ rref(
Example
| Input | Result |
|---|---|
| rref([1,2;3,4]) | [[1,0][0,1]] |
Typing rref([1,2;3,4]) on the home screen and pressing ENTER returns [[1,0][0,1]].
Keystrokes on the TI-89 Titanium
2NDMATH4▶×34
The same key sequence inserts rref( in Calc89, and the AI tutor shows it step by step on the on-screen keypad.
Related commands
- simult(Solves a system of linear equations given as a coefficient matrix and a column of constants, and returns the solution as a column vector.
- subMat(Returns the part of a matrix between a start row and column and an end row and column.
- trace(Returns the trace of a square matrix, the sum of the entries on its main diagonal.
- transpose(Returns the transpose of a matrix, with rows and columns swapped.
- unitV(Returns the unit vector in the direction of a vector, the vector divided by its length.
- .*Multiplies two matrices element by element, unlike the normal matrix product.
- .+Adds element by element: each entry of the first matrix is added to the matching entry of the second, or to a single value.
- .-Subtracts element by element: the matching entry of the second matrix, or a single value, is subtracted from each entry.