1. The problem statement, all variables and given/known data Consider the left multiplication L_A:R^4->R^3 corresponding the matrix A: 1 2 -1 3 = 2 2 4 -1 6 = 5 0 1 0 2 = 3 What is the rank of L_A and the Range of L_a? 2. Relevant equations 3. The attempt at a solution I have two main problems with this question. First, what is the left multiplication? I can't seem to find it anywhere and the prof said that we should know it from previous classes, but I have never heard of the left multiplication. Secondly, I understand that that the Range is supposed to be the solution space for Ax=B: is that correct? Thank you so much for your help in advance.