$\left [ \begin{matrix} 5 & 2 & - 1 \\ 3 & - 5 & 4 \\ 3 & 2 & - 7 \end{matrix} \right ] \left [ \begin{matrix} x \\ y \\ z \end{matrix} \right ] = \left [ \begin{matrix} 20 \\ 15 \\ 35 \end{matrix} \right ]$

$D_Y$=এর মান কত?

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

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

$A=\left[\begin{array}{ccc}3 & 2 & 3 \\ 4 & 2 & 1 \\ 2 & 1 & -2\end{array}\right], B=\left[\begin{array}{ccc}2 & 10 & 3 \\ 3 & 8 & 2 \\ 1 & 8 & 1\end{array}\right], C=\left[\begin{array}{ccc}a & 12 & 6 \\ b & 10 & 3 \\ 3 & 9 & -1\end{array}\right], X=\left[\begin{array}{l}x \\ y \\ z\end{array}\right], D=\left[\begin{array}{c}5 \\ 10 \\ 15\end{array}\right]$

দৃশ্যকল্প-১ :

$x-2 y+z=1$

$2 x+6 y-z=2$

$x+3 y-3 z=3$

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