Suppose that you are mixing paint. You begin with one gallon of white in bucket 1 and one gallon of black in bucket 2. Every hour you simultaneously move 25% of the paint in bucket 1 to bucket 2 and 25% of the paint in bucket 2 to bucket 1. Then mix thouroghly.
Give a matrix expression which indicates the proportion of black paint in each bucket after k hours.
Can someone help me out with this? This was an exam question and I don't know how to do it. TIA!!!!