Let A 1 3 4 3 2 5 4 6 10 b b1 b2 b3 Show that the equation

Let A = (1 3 -4 3 2 -5 -4 -6 10), b = (b_1 b_2 b_3) Show that the equation Ax = b is not consistent for all possible b, and describe the set of all b for which the equation is consistent, both algebraically and geometrically

Solution

By calculating the determinent of coefficient matrix A we get det(A)=0

since det(A)=0 the system is not consistent