Appendix A: Functions and Instructions 839
rowNorm() MATH/Matrix/Norms menu
rowNorm(
matrix
) ⇒
expression
Returns the maximum of the sums of the absolute
values of the elements in the rows in
matrix
.
Note: All matrix elements must simplify to numbers.
See also
colNorm()
.
rowNorm([-5,6,-7;3,4,9;9,-9,-7])
¸ 25
rowSwap() MATH/Matrix/Row ops menu
rowSwap(
matrix1
,
rIndex1
,
rIndex2
) ⇒
matrix
Returns
matrix1
with rows
rIndex1
and
rIndex2
exchanged.
[1,2;3,4;5,6]! Mat
¸
1 2
3 4
5 6
rowSwap(Mat,1,3)
¸
5 6
3 4
1 2
RplcPic CATALOG
RplcPic
picVar
[,
row
][
,
column
]
Clears the Graph screen and places picture
picVar
at pixel coordinates (
row
,
column
). If you do not want
to clear the screen, use
RclPic
.
picVar
must be a picture data type variable.
row
and
column
, if included, specify the pixel coordinates of
the upper left corner of the picture. Default
coordinates are (0, 0).
Note: For less than full-screen pictures, only the
area affected by the new picture is cleared.
rref() MATH/Matrix menu
rref(
matrix1
[
,
tol
]
) ⇒
matrix
Returns the reduced row echelon form of
matrix1
.
rref([ë 2,ë 2,0,ë 6;1,ë 1,9,ë 9;
ë 5,2,4,ë 4])
¸
1 0 0 66/71
0 1 0
147
71
0 0 1 ë 62/71
Optionally, any matrix element is treated as zero if
its absolute value is less than
tol
. This tolerance is
used only if the matrix has floating-point entries and
does not contain any symbolic variables that have
not been assigned a value. Otherwise,
tol
is ignored.
•
If you use
¥¸
or set the mode to
Exact/Approx=APPROXIMATE
, computations
are done using floating-point arithmetic.
•
If
tol
is omitted or not used, the default tolerance
is calculated as:
5Eë 14 ù max(dim(
matrix1
)) ù rowNorm(
matrix1
)
Note: See also
ref()
.
rref([a,b,x;c,d,y])
¸
1 0
dø x-bø y
aø d-bø c
0 1
ë (cø x-aø y)
aø d-bø c
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