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

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

Latest revision as of 08:25, 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

math

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