Texas Instruments TI-89, TI-92

Appendix A: Functions and Instructions 493

8992APPA.DOC TI-89 / TI-92 Plus: Appendix A (US English) Susan Gullord Revised: 02/23/01 1:48 PM Printed: 02/23/01 2:21 PM Page 493 of 132

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 ¸







3 4

5 6

rowSwap

(

Mat,

)







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([ë2,ë2,0,ë6;1,ë1,9,ë9;

ë5,2,4,ë4]) ¸













1 0 0 66/71

0 1 0 147

0 0 1 ë62/71

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:

5Eë14 ùmax(dim(matrix1))

ùrowNorm(matrix1)

Note: See also ref().

rref([a,b,x;c,d,y]) ¸













1 0 døx-bøy

aød-bøc

0 1

ë(cøx-aøy)

aød-bøc