MATLAB numeric variables(including matrices, arrays, etc. of the built-in data types) are value objects. when you copy a to the variable b, both variables are independent of each other. Changing the value of a does not change the value of b.
So It is not possible to change matrix A automatically.You have to change A matrix whenever a change in row vector for time.
A = [A(:,1),b'] %b is the row vector for time