4.1 Let .1. he an m x :1 matrix, where c and d are m x 1 and n x Hector. respectively. 4.1.1 Show that BA: 2 Bi: has the some set of solutions for the H x 1 vector as A: = c it the p x m matrix B has full column ranlt. {T} 4.1 .2 Show that ASA: : 51m has the some set (If solutions for I as A: : Act. [T] 11 1 1 _l 4.2Let:l=|:1 3 1 _l:|.and('= 2]. Show that the system A: = u: is consistent and has three lineom.r independent solutions. {1'}