Rref

fx-9860GII

On a Casio calculator you can find the reduced row echelon form of a matrix

MAT ▷ Rref

OPTN F2 F6 F5

or via the CATALOG as

Rref_

You can use the command any time in the RUN·MAT, STAT, TABLE, EQUA and PRGM modes.

Explanation

A matrix is said to be in row echelon form when all its non-zero rows have a pivot, that is, a non-zero entry such that all the entries to its left and below it are equal to zero.

The reducuded row echelon form operation may not produce accurate results due to dropped digits.

Example 1

In the matrix memories we have

Mat F = 2 −1 3 19

1 1 −5 −21

0 4 3 0

To find the reduced row echelon form of this 3 × 4 matrix

MAT ▷ Rref ▷ Mat

OPTN F2 F6 F5 F6 F1 ALPHA F EXE

which gives

Ans 1 2 3 4

1 1 0 0 2

2 0 1 0 -3

3 0 0 1 4

1

Press EXIT to close the screen

Rref Mat F

Done