Exercise 4.20

Solve the system of linear equations $ Ax = b$ by means of symbolic matrices, that are a dependent on the parameter $ a$ . Is this solution defined for all $ a$ , when:

$\displaystyle A = \begin{bmatrix}1 & 1 & -1 \\ 1 & 2 & -1 \\ 1 & 1& (a^2-5)\end{bmatrix}, \quad b = \begin{bmatrix}2 \\ 3\\ a\end{bmatrix}?$    

Check whether solutions exist for $ a=\sqrt{6}$ by use of the commands:
  • >>rref and
  • >>A\b



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Esteur 2010-03-22