જો $A^{-1}=\frac{-1}{2}\left[\begin{array}{cc}5 & 8 \\ -1 & 2\end{array}\right]$ હોય,તો $2A+I_2=$ શોધો,જ્યાં $I_2$ એ $2$ કક્ષાનો એકમ શ્રેણિક છે.
- A$\left[\begin{array}{ll}5 & 8 \\ 1 & 2\end{array}\right]$
- B$\left[\begin{array}{ll}5 & 8 \\ 2 & 2\end{array}\right]$
- C$\left[\begin{array}{ll}2 & 4 \\ 1 & 1\end{array}\right]$
- D$\left[\begin{array}{ll}5 & 8 \\ 2 & 3\end{array}\right]$
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Similar Questions
શ્રેણિક $\begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}$ નો એડજોઈન્ટ (adjoint) શોધો.
Easy
View Solutionજો $A = \begin{bmatrix} i & 0 \\ 0 & i/2 \end{bmatrix}$ જ્યાં $i = \sqrt{-1}$ હોય,તો $A^{-1} = $
Easy
View Solutionજો $A$ એક એવો ચોરસ શ્રેણિક હોય કે જેથી $A(\operatorname{adj} A) = \begin{bmatrix} 4 & 0 & 0 \\ 0 & 4 & 0 \\ 0 & 0 & 4 \end{bmatrix}$ થાય,તો $\operatorname{det}(\operatorname{adj} A)$ ની કિંમત શોધો.
જો $A = \begin{bmatrix} 1 & 2 & 3 \\ -1 & 1 & 2 \\ 1 & 2 & 4 \end{bmatrix}$ અને $A(\operatorname{adj} A) = kI$ હોય,તો $(k+1)^4$ ની કિંમત શોધો.
જો $A = \begin{bmatrix} 2 & 3 \\ 1 & 2 \end{bmatrix}$ અને $B = \begin{bmatrix} 1 & 0 \\ 3 & 1 \end{bmatrix}$ હોય,તો $(AB)^{-1} =$
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