If b and r are two scalars, then
b^r is b raised to the power of r: .
If the base b is negative and the exponent r
is a fraction, or either b or r is
complex, the result is the principal value of the (multi-valued) power .
For example
2 ^ (5)
32
3 ^ (-2)
0.1111111111
9 ^ (1/2)
3
(-3) ^ (1/2)
0 + 3i
If A is a square matrix, and
- n is a positive integer, then
A^n is the product of n copies of A:
- n=0, then
A^0 is the identity matrix
- n = -1, then
A^(-1) is the inverse matrix of A
- n is negative integer, then A^n is the inverse of
A^(-n)
oz
2009-12-22