1. Explain why the functions diag, dim, length, and names can be assigned new values (as in diag(m)=pi).
2. Using the uniform U(0, 1) random generator runif, construct a 2x2 matrix A such that the sum of each row is 1. Show that this property is preserved by a matrix power product, and check whether numerical inaccuracies occur when the power is high enough.