1.
Let A=12I2MMTA = 12I - 2 M M^T, where MM is a real matrix of order 2×12 \times 1 such that the relation MTM=I1M^T M = I_1 holds. If λ\lambda is a real number such that the relation AX=λXA X = \lambda X holds for some non-zero real matrix XX of order 2×12 \times 1, then the sum of squares of all possible values of λ\lambda is equal to: