Contents
>> Applied Mathematics
>> Matrix Algebra
>> Principles of Matrix Calculation
>> Powers of matrices
Powers of matrices Let A – a square matrix and n – a natural number. Then the n th power of the matrix A is:
Besides it is considered, that
, where
Е
– an identity matrix.
For powers of matrices with the whole indices the following rules take place:
If A and B – square matrices of the same orders, and АВ = ВА , then Newton’s binomial formula takes place:
S o l u t i o n .
