$\begin{bmatrix} 4 & 7 \\ 1 & 2 \end{bmatrix}$ નો વ્યસ્ત શ્રેણિક શોધો.

  • A
    $\begin{bmatrix} 2 & -7 \\ -1 & 4 \end{bmatrix}$
  • B
    $\begin{bmatrix} 2 & -1 \\ -7 & 4 \end{bmatrix}$
  • C
    $\begin{bmatrix} -2 & 7 \\ 1 & -4 \end{bmatrix}$
  • D
    $\begin{bmatrix} -2 & 1 \\ 7 & -4 \end{bmatrix}$

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ધારો કે $A = \begin{bmatrix} 1 & -2 & 1 \\ -2 & 3 & 1 \\ 1 & 1 & 5 \end{bmatrix}$. ચકાસો કે $[adj A]^{-1} = adj(A^{-1})$.

${\left[ {\begin{array}{*{20}{c}}1&3\\3&{10}\end{array}} \right]^{ - 1}} = $

જો $A = \begin{bmatrix} 2 & 3 \\ -4 & 1 \end{bmatrix}$ હોય,તો $\text{adj}(3A^2 + 12A)$ ની કિંમત શોધો.

જો $A = \begin{bmatrix} 2x & 0 \\ x & x \end{bmatrix}$ અને $A^{-1} = \begin{bmatrix} 1 & 0 \\ -1 & 2 \end{bmatrix}$ હોય,તો $x =$ . . . . . . .

જો $A = \begin{bmatrix} \sec \theta & -\tan \theta \\ -\tan \theta & \sec \theta \end{bmatrix}$, $\theta \in (0, \frac{\pi}{2})$ એ રીતે હોય કે $A + \text{adj } A = 4I$, તો $\theta =$

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