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D.3.1.9 power
Procedure from library matrix.lib (see matrix_lib).
- Usage:
- power(A,n); A a square-matrix of type intmat or matrix, n=integer>=0
- Return:
- intmat resp. matrix, the n-th power of A
- Note:
- for A=intmat and big n the result may be wrong because of int overflow
Example:
| LIB "matrix.lib";
intmat A[3][3]=1,2,3,4,5,6,7,8,9;
print(power(A,3));"";
==> 468 576 684
==> 1062 1305 1548
==> 1656 2034 2412
==>
ring r=0,(x,y,z),dp;
matrix B[3][3]=0,x,y,z,0,0,y,z,0;
print(power(B,3));"";
==> yz2, xy2+x2z,y3+xyz,
==> y2z+xz2,yz2, 0,
==> y3+xyz, y2z+xz2,yz2
==>
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