On solving the power of matrices

Source: Internet
Author: User
In general, the Matrix A two or three power after it becomes 0, this class can be used for (AE−A) n (ae-a) ^n, only need to follow the two-key expansion, calculate the first few items.

A=αtαa = \alpha^t\alpha, you can use: An=αt (Tumi) .... (tumi) αa^n = \alpha^t (\alpha\alpha^t) .... (\alpha\alpha^t) \alpha is a simplification, the middle is a number.

In addition, a similar diagonal array of matrices can be used to solve the power-times.

Three direction of thinking, concrete operation is not difficult. It's important to find the right ideas.

To be supplemented later.

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