Casio FX-9750GII-SC User Guide - Page 84
Row Echelon Form, Reduced Row Echelon Form, Matrix Inversion - matrix inverse
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*(MAT)(Trn)(Mat) ?T(A)U S Row 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: 123 Matrix A = 456 *(MAT)(E)(Ref) (E)(Mat)?T(A)U S Reduced Row Echelon Form This command finds the reduced row echelon form of a matrix. [OPTN]-[MAT]-[Rref] Example To find the reduced row echelon form of the following matrix: Matrix A = 2 −1 3 19 1 1 −5 −21 043 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. S Matrix Inversion [x-1] Example To invert the following matrix: 12 Matrix A = 34 *(MAT)(Mat) ?T(A)(x-1)U 2-46
2-46
(MAT)
(Trn)
(Mat)
(A)
Row 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:
Matrix A =
(MAT)
(
)
(Ref)
(
)
(Mat)
(A)
Reduced 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:
Matrix A =
(MAT)
(
)
(Rref)
(
)
(Mat)
(A)
• The row echelon form and reduced row echelon form operation may not produce accurate
results due to dropped digits.
Matrix Inversion
[
x
–1
]
Example
To invert the following matrix:
Matrix A =
(MAT)
(Mat)
(A)
(
x
–1
)
1
2
3
4
5
6
1
2
3
4
5
6
2
−1
3
19
1
1
−5
−21
0
4
3
0
2
−1
3
19
1
1
−5
−21
0
4
3
0
1
2
3
4
1
2
3
4