*(MAT)(Trn)(Mat)

?T(A)U

SRow Echelon Form

[OPTN]-[MAT]-[Ref]

This command uses the Gaussian elimination algorithm to find the row echelon form of a matrix.

Example

To find the row echelon form of the following matrix:

1 2 3

Matrix A =

4 5 6

*(MAT)(E)(Ref)

(E)(Mat)?T(A)U

SReduced Row Echelon Form

 

 

 

[OPTN]-[MAT]-[Rref]

This command finds the reduced row echelon form of a matrix.

Example

To find the reduced row echelon form of the following matrix:

 

 

 

2

−1

3

19

 

 

 

 

 

 

 

Matrix A =

1

1

−5

−21

 

 

 

 

0

4

3

0

 

 

 

 

 

 

 

*(MAT)(E)(Rref)

(E)(Mat)?T(A)U

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

SMatrix Inversion

 

 

[x–1]

Example

To invert the following matrix:

 

Matrix A =

 

1

2

 

 

 

 

 

 

 

4

 

 

 

 

 

3

 

 

 

 

 

 

 

*(MAT)(Mat)

?T(A) (x–1)U

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