If A and B are (n Times n) matrices such that A is non-singular and AB = O, then prove that B = O. [Hint: Write B = [B1,...,Bn] and consider AB = [AB1,..., ABn].]
Show transcribed image textIf A and B are (n Times n) matrices such that A is non-singular and AB = O, then prove that B = O. [Hint: Write B = [B1,...,Bn] and consider AB = [AB1,..., ABn].]