If $\frac{x^2+5 x+1}{(x+1)(x+2)(x+3)}=\frac{a}{x+1}+\frac{b}{(x+1)(x+2)}+\frac{c}{(x+1)(x+2)(x+3)}$ then the…

If $\frac{x^2+5 x+1}{(x+1)(x+2)(x+3)}=\frac{a}{x+1}+\frac{b}{(x+1)(x+2)}+\frac{c}{(x+1)(x+2)(x+3)}$ then the inverse of the matrix $\left[\begin{array}{ll}a & b \\ c & 1\end{array}\right]$ is
  1. $\left[\begin{array}{cc}1 & 0 \\ -5 & 1\end{array}\right]$
  2. $\left[\begin{array}{cc}-1 & 0 \\ 5 & -1\end{array}\right]$
  3. $\left[\begin{array}{ll}1 & 0 \\ 5 & 1\end{array}\right]$
  4. $\left[\begin{array}{ll}1 & 0 \\ 1 & 5\end{array}\right]$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (25 Apr Shift 1)

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