The system below is either consistent for all choices of b E

The system below is either consistent for all choices of b Epsilon R^3 or there are vectors b for which the system is inconsistent. Enter 888 in the former case. Otherwise, give the sum of alpha, beta so that the system is consistent when b_1 + alpha b_2 + beta b_3 = 0. (1 -3 2 -2 5 -1 3 -4 -6) x = (b_1 b_2 b_3)

Solution

The system is consistent for all chosen values of B as determinant of the given matrix is not equal to zero.