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- November 15th 2009, 11:04 AM #1

- Joined
- Nov 2009
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- 5

## Please help

I am not able to understand the question properly,please can you explain with solution.This is the question,

Consider a system of differential equations of the kinddx(t)/dt= Ax(t)

wherex is a state (column) vector and A is a matrix. With a transformation of the state vector as x = M^xthe system can be written as

d^x/t= A^x^(t)

whereA^ = M-1AM. Choose M as the ”model matrix”, i.e. M = [e1; e2; e3], where ei, i = 1; 2; 3 are the igenvectors of A, and calculate A^ for the following problems

**Please note: It is A^ -A cap and M^ -M cap**

**M-1 is M inverse**