Consider the linear system 211 + 3x2 - 5.23 = b 7.01 + 2.02 + 813 = b2 -X1 + 12 - 5.23 = b3
(a) Find the echelon form of the augmented matrix of the above system.
(b) Find the conditions on b1,b2, b3 for which this system has a solution.
(c) Do you see the shape of the points (61, 62, 63) for which the above system has a solution?
(d) If you randomly picked a (61, 62, 63) in R3, do you expect the above system to have a solution?