Casio fx-CP400 User Manual page 75

u eigVl [Action][Matrix][Calculation][eigVl]
Function: Returns a list that contains the eigenvalue(s) of a square matrix.
Syntax: eigVl (Mat [ ) ]
Example: To obtain the eigenvalue(s) of the matrix [[3, 4] [1, 3]]
u eigVc [Action][Matrix][Calculation][eigVc]
Function: Returns a matrix in which each column represents an eigenvector of a square matrix.
• Since an eigenvector usually cannot be determined uniquely, it is standardized as follows to its norm, which
is 1:
When V = [ 1, 2, ...,
Syntax: eigVc (Mat [ ) ]
Example: To obtain the eigenvector(s) of the matrix [[3, 4] [1, 3]]
u LU [Action][Matrix][Calculation][LU]
Function: Returns the LU decomposition of a square matrix.
Syntax: LU (Mat, lVariableMem, uVariableMem [ ) ]
Example: To obtain the LU decomposition of the matrix [[1, 2, 3] [4, 5, 6] [7, 8, 9]]
• The lower matrix is assigned to the first variable L, while the upper
matrix is assigned to the second variable U.
To display the lower matrix
Lw
u QR [Action][Matrix][Calculation][QR]
Function: Returns the QR decomposition of a square matrix.
Syntax: QR (Mat, qVariableMem, rVariableMem [ ) ]
Example: To obtain the QR decomposition of the matrix [[1, 2] [3, 4]]
• The unitary matrix is assigned to variable Q, while the upper triangular
matrix is assigned to variable R.
To display the unitary matrix
Qw
u swap [Action][Matrix][Row&Column][swap]
Function: Swaps two rows of a matrix.
Syntax: swap (Mat, row number-1, row number-2 [ ) ]
Example: To swap row 1 with row 2 of the matrix [[1, 2] [3, 4]]
+ ⎥ 2⎥ + .... + ⎥
2 2
], (⎥ 1⎥
⎥
2
) = 1.
To display the upper matrix
Uw
To display the upper triangular matrix
Rw
Chapter 2: Main Application 75