MCQ
જો $A=\begin{bmatrix}a & 0 \\ 1 & 1\end{bmatrix}$ અને $B=\begin{bmatrix}1 & 0 \\ 5 & 1\end{bmatrix}$ અને $A^2 = B$ તો $a=.............$
- A$-1$
- B$1$
- C$4$
- ✓$a$ ન મળે.
$A^2=\begin{bmatrix}a & 0 \\ 1 & 1\end{bmatrix} \cdot\begin{bmatrix}a & 0 \\ 1 & 1\end{bmatrix} =\begin{bmatrix}a^2 & 0 \\ a+1 & 1\end{bmatrix} $
$ \therefore A^2 = B$
$\therefore\begin{bmatrix}a^2 & 0 \\ a+1 & 1\end{bmatrix}= \begin{bmatrix}1 & 0 \\ 5 & 1\end{bmatrix}$
$a^2=1$ , $a+1=5$
$a=4$
$A^2=B$ માટે $a^2=1$ અને $a=4$ ની
કિંમત સુસંગત નથી.
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