List 4 mat(), List(), Ln() – Texas Instruments PLUS TI-89 User Manual

Page 480

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Appendix A: Functions and Instructions 463

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 463 of 132

list

4

mat()

MATH/List menu

list

4

mat(

list

[,

elementsPerRow

])

matrix

Returns a matrix filled row-by-row with the
elements from

list

.

elementsPerRow

, if included, specifies the

number of elements per row. Default is the
number of elements in

list

(one row).

If

list

does not fill the resulting matrix, zeros

are added.

list

4mat({1,2,3}) ¸

[1 2 3]

list

4mat({1,2,3,4,5},2) ¸

1 2
3 4
5 0

@

list()

MATH/List menu

list

(list1)

list

Returns a list containing the differences
between consecutive elements in

list1

. Each

element of

list1

is subtracted from the next

element of

list1

. The resulting list is always

one element shorter than the original

list1

.

@list({20,30,45,70}) ¸

{10,15,25}

ln()

TI

-

89:

2 x

key

TI

-

92 Plus:

x

key

ln(

expression1

)

expression

ln(

list1

)

list

Returns the natural logarithm of the
argument.

For a list, returns the natural logarithms of
the elements.

ln(2.0) ¸

.693...

If complex format mode is

REAL

:

ln({ë 3,1.2,5}) ¸

Error: Non-real result

If complex format mode is

RECTANGULAR

:

ln({ë 3,1.2,5}) ¸

{ln(3) +

i .182... ln(5)}

ln(

squareMatrix1

)

squareMatrix

Returns the matrix natural logarithm of

squareMatrix1

. This is not the same as

calculating the natural logarithm of each
element. For information about the
calculation method, refer to

cos()

on.

squareMatrix1

must be diagonalizable. The

result always contains floating-point
numbers.

In Radian angle mode and Rectangular
complex format mode:

ln([1,5,3;4,2,1;6,л 2,1]) ¸

1.831…+1.734…шi .009…м 1.490…шi

.448…м.725…шi 1.064…+.623øi

л.266…м 2.083…шi 1.124…+1.790…øi

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