Texas Instruments TI-89 manual ^

Appendix A: Functions and Instructions 903
^ (power) Zkey
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 2b cò}
expression ^ list1 ⇒ list
Returns expression raised to the power of the
elements in
list1 .
p^{a,2,ë3} ¸ {pa pñ 1
pò}
list1 ^ expression ⇒ list
Returns the elements in list1 raised to the power
of
expression .
{1,2,3,4}^ë2 ¸
{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 = ë1, computes the inverse matrix.
If
integer < ë1, computes the inverse matrix to an
appropriate positive power.
[1,2;3,4]^2 ¸
[1,2;3,4]^ë1 ¸
[1,2;3,4]^ë2 ¸
.+ (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] ¸