Zero-one matrices Join and Meet and Boolean Product.

Find 6. Let A = [1 ] and B = = -6.9.1 a) (3 points) AAB b) (3 points) AVB c) (4 points) A OB 7. a) (4 points) Show that the system of simultaneous linear equations 011X1 +212X2 + ++ in n = b Q2141 +222X2 + + 22n*n = b2 0,1*1 + an2X2 + ... + annX = br in the variables X1, X2, ...X, can be expressed as AX = B, where A = [~;;) is an nx n matrix, X is an nx 1 matrix with x; the entry in its ih row, and B is an nx 1 matrix with by the entry in its ith row. b) (4 points) Show that if the inverse matrix A ' of the matrix A = [ay] exists, then the solution of the system in part (a) can be found using the equation X = A'B