Calculator User Manual

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 1013MATRX.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
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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
squareMatrix
¹
cnorm
squareMatrix
M
1
; the closer the
product is to 1, the more stable
squareMatrix
can be expected to be in matrix
functions