[Eigen] Day 8. matrix multiplication and it's application : predicting the weather

    vxd::t v(3);
    v << 1, 0, 0;
 
    //transition matrix
    mxd::t m(3,3);
    m <<    .4 , .3, .1,
            .4 , .3, .6,
            .2 , .4, .3;
 
    //if today is sunny : what is the probability of the weather a week later?
 
    for(z::t i(0) ; i < 7 ; ++i){
        v = m * v;
    }
 
    co(v);
 

output = 
0.263175
 0.42105
0.315775