Hi there! How can I prove that a function which takes an nxn matrix and returns that matrix cubed is a continuous function? Also, how can I analyze if the function is differenciable or not? About the continuity I took a generic matrix A and considered the matrix A + h, where h is a real tending to zero. Then I generalized the product of two matrices A and B where the result is a matrix with a sum in each entry. Then the result of the product of the matrices A+h and B+h is a matrix like A.B plus some constants tending to zero. Although I'm not sure that's enough to prove the continuity. Any help with this and the differenciation? Thanks!