a b C a b C 2. (15 points.) Let a, b, c, d, e, and f be some numbers such that 1 0 U = 1 1 1 = 7 d e d e a 1 d a 3 d a 4 and b 2 e = 11. Find b 3 e and 6 5 e . (Hint: Write the vector (4, 5, 7) and a C 3 c 3 f C 7 linear combination of a basis of R3. ) 3. (15 points. ) Let Tx = Ax be the orthogonal projection onto the plane x + 2y + 3z =0 in R3. Find all the eigenvalues and the corresponding eigenspaces. What are the geometrical and algebraic multiplicities of the eigenvalues