Texas Instruments TI-86 - Manual (Page 195)

Chapter 13: Matrices
183
13MATRX.DOC TI-86, Chap 13, US English Bob Fedorisko Revised: 02/13/01 2:32 PM Printed: 02/13/01 3:03 PM Page 183 of 10 13MATRX.DOC TI-86, Chap 13, US English Bob Fedorisko Revised: 02/13/01 2:32 PM Printed: 02/13/01 3:03 PM Page 183 of 10
The MATRX MATH Menu - ‰ (
NAMES EDIT MATH OPS CPLX
det T norm eigVl eigVc 4 rnorm cnorm LU cond
det squareMatrix Returns the determinant of squareMatrix
matrix T Returns a transposed matrix; each element’s (row,column) coordinates switch
norm matrix Returns the Frobenius norm ( G(real 2 +imaginary 2 )) where the sum is over
all elements of a real or complex matrix
eigVl squareMatrix Returns a list of the normalized eigenvalues of a real or complex
squareMatrix
eigVc squareMatrix Returns a matrix containing the eigenvectors for a real or complex
squareMatrix
; each column corresponds to an eigenvalue
rnorm matrix (row norm) Returns the largest of the sums of the absolute values of the
elements (magnitudes of complex elements) in each row of matrix
cnorm Matrix (column norm) Returns the largest of the sums of the absolute values of the
elements (magnitudes of complex elements) in each column of matrix
LU( matrix ,
lMatrixName ,
uMatrixName ,
pMatrixName )
Calculates the Crout LU (lower-upper) decomposition of a real or complex
matrix
; stores the lower triangular matrix to lMatrixName, the upper
triangular matrix to uMatrixName, and the permutation matrix (which
describes the row swaps done during calculation) in pMatrixName
cond squareMatrix Calculates cnorm squareMatrix¹ cnorm squareMatrix M 1 ; the closer the
product is to 1, the more stable squareMatrix can be expected to be in matrix
functions