Programming Math problem using Maple

Let a and b be real numbers and A = [a a - 1 -b a - 1 a - b b b 2 a - 1], B = [0 2 0 b 0 a 0 1 0 a 2 0 b 0 1 0 b 0 1 0 a 0 1 0 b]. (a) Show that if 0 lessthanorequalto a, a lessthanorequalto 1 and b^2 = 2 a (1 - a), then A is an orthogonal matrix with determinant equal to one. (b) For what values of a and b is the matrix B singular? Determine the inverse of B (for those values of a and b for which B is invertible). Let a and b be real numbers and A = [a a - 1 -b a - 1 a - b b b 2 a - 1], B = [0 2 0 b 0 a 0 1 0 a 2 0 b 0 1 0 b 0 1 0 a 0 1 0 b]. (a) Show that if 0 lessthanorequalto a, a lessthanorequalto 1 and b^2 = 2 a (1 - a), then A is an orthogonal matrix with determinant equal to one. (b) For what values of a and b is the matrix B singular? Determine the inverse of B (for those values of a and b for which B is invertible)