$\mathrm{L}=\left[\begin{array}{rrr} 2 & 1 & 3 \\ -1 & 3 & -1 \\ -1 & 2 & -5 \end{array}\right], \mathrm{M}=\left[\begin{array}{l} 6 \\ 1 \\ 1 \end{array}\right], \mathrm{N}=\left[\begin{array}{l} \mathrm{x} \\ \mathrm{y} \\ z \end{array}\right] \text { এবং } \mathrm{A}=\left|\begin{array}{lll} \mathrm{P}^{2} & \mathrm{a}^{2} & \mathrm{a}^{2} \\ \mathrm{~b}^{2} & \mathrm{Q}^{2} & \mathrm{~b}^{2} \\ \mathrm{c}^{2} & \mathrm{c}^{2} & \mathrm{R}^{2} \end{array}\right|$

$f\left(\theta\right)=\cos\theta$

$\left.\begin{array}{c}x+2 y-z=5 \\ 3 x-y+3 z=7 \\ 2 x+3 y+z=11\end{array}\right\}$ এবং $R=\left[\begin{array}{ccc}a & b & a+b+2 c \\ b & b+c+2 a & c \\ c+a+2 b & a & c\end{array}\right]$

দৃশ্যকল্প-১ :

$x-2 y+z=1$

$2 x+6 y-z=2$

$x+3 y-3 z=3$

দৃশ্যকল্প-২ : $\Delta=\left|\begin{array}{lll}1 & x & x^{2} \\ 1 & y & y^{2} \\ 1 & z & z^{2}\end{array}\right|, \Delta_{1}=\left|\begin{array}{ccc}1 & 1 & 1 \\ y z & z x & x y \\ x & y & z\end{array}\right|$