//page 36 //Example 2.7 clear; clc; close; disp('A = m*n matrix over field F'); disp('X and Y are n*1 matrices over F'); disp('A*X = 0, A*Y = 0'); disp('c is a scalar') disp('So, A(cX+Y) = c*A*X + A*Y = 0'); disp('Hence, the set of all n*1 column matrices is the subspace of space of all n*1 matrices over F'); //end