Williamson/Trotter Errors

• §2.2D, p. 73.
  • Problem 10. The line doesn't contain 0
  • Problem 11. The answer in the back is wrong. It should be:
    x = s(0 1 0 0)^T + t(-1 0 -1 1)^T
    

• §2.4, p. 86.
  • Problem 19. The answer in the back is wrong. It should be:

           1            -1             1            -3/4     
           0             1/2            0            -1/8     
           0             0             1            -1/4     
           0             0             0             1/4     
    

  • Problem 26. The (2,1) entry in the matrix should be 1/√2.
  • Problem 30. The (2,1) entry in the matrix in problem 26 should be 1/√2.

• §3.1A, pp. 103-4
  • On page 103, there is a typo on the right-hand side of equation 1.2. The equation should be

    f(t₁x₁ + t₂x₂ + ... + t_kx_k) = t₁f(x₁) + t₂f(x₂) + ... + t_kf(x_k)

  • On page 104, in the middle column vector above the paragraph starting with "Note," the top entry should be

    2x₁ + 3x₂ − 4x₃

• §3.2B, p. 114
  • On page 114, the right-hand side of the second equation in Example 6 should be

    s(ax₁ + by₁ + cz₁) = 0

• §3.7B, pp. 162-3.
  • Theorem 7.5. The formula for d_n has sign errors. It should read
    d_n = || x - (u₁u₁ + ... + u_nu_n) ||
    
  • Example 8. SOME printings have ||f||² rather than ||f|| in the first equation of the example.

• §3.7C, p. 171.
  • Problem 3. The answer in the back is wrong. The matrix S should be S =

     0 0 1
     0 1 0
    -1 0 0
    

  • Problem 5. The answer is the transpose of the matrix given in the back.