Appendix a: functions and instructions 903 – Texas Instruments TITANIUM TI-89 User Manual

Page 903

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Appendix A: Functions and Instructions

903

^

(power)

Z

key

expression1

^

expression2

expression

list1

^

list2

list

Returns the first argument raised to the power of
the second argument.

For a list, returns the elements in

list1

raised to

the power of the corresponding elements in

list2

.

In the real domain, fractional powers that have
reduced exponents with odd denominators use
the real branch versus the principal branch for
complex mode.

4^2

¸

16

{a,2,c}^{1,b,3}

¸

{a

2

b

cò }

expression

^

list1

⇒ list

Returns

expression

raised to the power of the

elements in

list1

.

p^{a,2,ë 3}

¸

{

pa pñ

1

}

list1

^

expression

⇒ list

Returns the elements in

list1

raised to the power

of

expression

.

{1,2,3,4}^ë 2

¸

{

1 1/4 1/9 1/16

}

squareMatrix1

^

integer

⇒ matrix

Returns

squareMatrix1

raised to the

integer

power.

squareMatrix1

must be a square matrix.

If

integer

= ë 1, computes the inverse matrix.

If

integer

< ë 1, computes the inverse matrix to an

appropriate positive power.

[1,2;3,4]^2

¸

[1,2;3,4]^л 1

¸

[1,2;3,4]^л 2

¸

.+

(dot add)

¶ «

keys

matrix1

.+

matrix2

matrix

expression

.+

matrix1

matrix

matrix1

.+

matrix2

returns a matrix that is the sum

of each pair of corresponding elements in

matrix1

and

matrix2

.

expression

.+

matrix1

returns a matrix that is the

sum of

expression

and each element in

matrix1.

[a,2;b,3].+[c,4;5,d]

¸

x.+[c,4;5,d]

¸

.

....

(dot subt.)

¶ |

keys

matrix1

.

ì matrix2

matrix

expression

.ì

matrix1

matrix

matrix1

.ì

matrix2

returns a matrix that is the

difference between each pair of corresponding
elements in

matrix1

and

matrix2

.

expression

.ì

matrix1

returns a matrix that is the

difference of

expression

and each element in

matrix1.

[a,2;b,3].ì [c,4;d,5]

¸

x.ì [c,4;d,5]

¸

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