Let Ax = 0 be homogeneous system of n linear equations in n unknowns that has only the trivial solution. Show that if k is any positive integer, then the system Ak .x = 0 also has only the trivial solution.
Let Ax = 0 be homogeneous system of n linear equations in n unknowns that has only the trivial solution. Show that if k is any positive integer, then the system Ak .x = 0 also has only the trivial solution.