જો $A=\begin{bmatrix} \frac{1}{\sqrt{5}} & \frac{2}{\sqrt{5}} \\ \frac{-2}{\sqrt{5}} & \frac{1}{\sqrt{5}} \end{bmatrix}$,$B=\begin{bmatrix} 1 & 0 \\ i & 1 \end{bmatrix}$,$i=\sqrt{-1}$,અને $Q=A^{T}BA$ હોય,તો શ્રેણિક $AQ^{2021}A^{T}$ નો વ્યસ્ત શ્રેણિક શું થાય?

  • A
    $\begin{bmatrix} \frac{1}{\sqrt{5}} & -2021 \\ 2021 & \frac{1}{\sqrt{5}} \end{bmatrix}$
  • B
    $\begin{bmatrix} 1 & 0 \\ -2021i & 1 \end{bmatrix}$
  • C
    $\begin{bmatrix} 1 & 0 \\ 2021i & 1 \end{bmatrix}$
  • D
    $\begin{bmatrix} 1 & -2021i \\ 0 & 1 \end{bmatrix}$

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Similar Questions

$Adj(AB) - (Adj B)(Adj A) = $

જો $A=\left[\begin{array}{ll}2 & 3 \\ 1 & 2\end{array}\right]$ અને $B=\left[\begin{array}{cc}2 & -3 \\ -1 & 2\end{array}\right]$ હોય,તો $\left(B^{-1} A^{-1}\right)^{-1}=$

જો $A = \begin{bmatrix} 1 & 2 & 3 \\ 1 & 3 & 4 \\ 3 & 4 & 3 \end{bmatrix}$ હોય,તો $A^{-1} = $

જો $3 A = \begin{bmatrix} 1 & 2 & 2 \\ 2 & 1 & -2 \\ a & 2 & b \end{bmatrix}$ અને $A A^{T} = I$ હોય,તો $\frac{a}{b} + \frac{b}{a}$ ની કિંમત શોધો.

$t$ ની એવી કિંમતો શોધો કે જેના માટે શ્રેણિક $\begin{bmatrix} 1 & 3 & 2 \\ 2 & 5 & t \\ 4 & 7 - t & -6 \end{bmatrix}$ નો વ્યસ્ત અસ્તિત્વ ધરાવતો નથી.

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