નીચે આપેલા શ્રેણિકો માટે સાચો વિકલ્પ પસંદ કરો:
$\begin{aligned} & A=\left[\begin{array}{ccc}\cos \frac{\pi}{4} & \sin \frac{\pi}{4} & 0 \\ -\sin \frac{\pi}{4} & \cos \frac{\pi}{4} & 0 \\ 0 & 0 & 1\end{array}\right] \\ & B=\left[\begin{array}{ccc}1 & 0 & 0 \\ 0 & \cos \frac{\pi}{3} & \sin \frac{\pi}{3} \\ 0 & -\sin \frac{\pi}{3} & \cos \frac{\pi}{3}\end{array}\right] \\ & C=\left[\begin{array}{ccc}\cos \frac{\pi}{6} & 0 & \sin \frac{\pi}{6} \\ 0 & 1 & 0 \\ -\sin \frac{\pi}{6} & \cos \frac{\pi}{6} & 0\end{array}\right] \\ & D=\left[\begin{array}{ccc}\cos \frac{\pi}{2} & \sin \frac{\pi}{2} & 0 \\ -\sin \frac{\pi}{2} & \cos \frac{\pi}{2} & 0 \\ 0 & 0 & 1\end{array}\right]\end{aligned}$

  • A
    $A^{2020}=I$
  • B
    $B^{2020}=I$
  • C
    $D^{2019}=I$
  • D
    $B^{2022}=I$

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Similar Questions

જો $A=\left[\begin{array}{ll}6 & 9 \\ 2 & 3\end{array}\right]$ અને $B=\left[\begin{array}{lll}2 & 6 & 0 \\ 7 & 9 & 8\end{array}\right]$ હોય,તો $AB$ શોધો.

$G = \left\{ \begin{bmatrix} x & x \\ x & x \end{bmatrix} : x \in \mathbb{R} \setminus \{0\} \right\}$ એ શ્રેણિક ગુણાકારની સાપેક્ષે એક જૂથ છે. આ જૂથમાં,$\begin{bmatrix} 1/3 & 1/3 \\ 1/3 & 1/3 \end{bmatrix}$ નો વ્યસ્ત શ્રેણિક શોધો.

જો $\begin{bmatrix} x + y & 2x + z \\ x - y & 2z + w \end{bmatrix} = \begin{bmatrix} 4 & 7 \\ 0 & 10 \end{bmatrix}$ હોય,તો $x, y, z, w$ ની કિંમતો શોધો.

જો $A = \begin{bmatrix} \sin \alpha & \cos \alpha \\ -\cos \alpha & \sin \alpha \end{bmatrix}$ હોય,તો ચકાસો કે $A^{\prime} A = I$.

જો $AB = C$ હોય,તો શ્રેણિકો $A, B, C$ ના પરિમાણો શું હશે?

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