Question

3. The following matrices are inverses. 11 3 37 1 4 3 A= A-!= 17 -1 (-1 -3 1 0 -37 0 1 1 3 4 Solve following system of equations I + + + 3y 4y 3y + + + 32 3 4 = = = b b b 1 (a) when by = 0, b2 = 0, and bg = 0. The solution is z, y, z) = (i) (1,-1,1) (ii) (-1,2,1) (iii) (0,0,0) (iv) (7, -2,0) (b) when bj = 1, by = -1, and b3 = 1. The solution is (t.y, 2) = (1,-1,1) (ii) (-1,1,1) (iii) (0,0,0) (iv) (7,-2,0) (c) Assume the following notation: Then, for any b, the unique solution it to the system of linear equations can determined as (i) i = Ab (ii) i = A (iii) i = A-1 (iv) not (i), (ii), or (iii)