નિશ્વાયક — ગણિત ધોરણ 12 સાયન્સ — Question

$\xrightarrow[{R_{32}(-1)}]{R_{21}(-1)}\begin{vmatrix}s&-s&0 \\0&s&-s\\1&a&s+b\end{vmatrix}$

$\xrightarrow[R_2{\left(\frac{1}{s}\right)}]{R_1\left({\frac{1}{s}}\right)}={s^2}\begin{vmatrix}1 & -1 & 0 \\0 & 1 & -1 \\c& a & s+b\end{vmatrix}$

$=s^2\begin{vmatrix}1 & -1 & 0 \\0 & 1 & -1 \\c & a & s+b\end{vmatrix}$

${c_{12}}(1) = {s^2}\begin{vmatrix}1 & 0 & 0 \\0 & 1 & -1 \\c & c+a & s+b\end{vmatrix}$

$=s^2(s+b+c+a)$

$=s^2(s+s)$

$=2s^3$