Difference between revisions of "Errata: In equation (8.6), matrix inverse is computed incorrectly"

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Line 13: Line 13:
 
       \begin{bmatrix} s & -\omega_0 \\ \omega_0 & s + 2 \zeta\omega_0 \end{bmatrix}^{-1}
 
       \begin{bmatrix} s & -\omega_0 \\ \omega_0 & s + 2 \zeta\omega_0 \end{bmatrix}^{-1}
 
       \begin{bmatrix} 0 \\ k \omega_0 \end{bmatrix} \\
 
       \begin{bmatrix} 0 \\ k \omega_0 \end{bmatrix} \\
 +
    &= \begin{bmatrix} 1 & 0 \end{bmatrix} \left( \frac{1}{s^2 + 2 \zeta \omega_0 s + \omega_0^2}
 +
      {\color{blue} \begin{bmatrix} s + 2 \zeta\omega_0 & -\omega_0 \\ \omega_0 & s \end{bmatrix}} \right)
 +
      \begin{bmatrix} 0 \\ k \omega_0} \\ & = \frac{k \omega_0^2}{s^2 + 2 \zeta\omega_0 s +
 +
        \omega_0^2 \end{bmatrix}.
 
  \endaligned
 
  \endaligned
 
</amsmath></center>
 
</amsmath></center>
 
}}
 
}}

Revision as of 08:24, 27 August 2011

Return to Errata page

Location: page 233, line -8

In the second line of the equation, the matrix inverse is incorrect. The correct expression is

latex: ../../../texk/kpathsea/progname.c:316: remove_dots: Assertion `ret' failed.

(Contributed by J. J. Chull (SNU), 7 Dec 2010)