_{i need help with these questions below your help will much appreciated. Thank you inadvance}

QUESTION 1 Consider an m x n matrix A. (1.1) State the four conditions that an n x n matrix H must satisfy to be in upper Hermite form. (1.2) Show that the Hermite forms of the matrices A and BA are the same where B 3 (1.3) Give the sufficient and necessary condition for the matrix A to be a conditional inverse (c- inverse) of A. (1. 4) If KABA = rA, where k # 0 and r # 0, show that =B is a c-inverse of A