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JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant

ધારો કે \(A=\left[\begin{array}{ll}1 & 2 \\ 0 & 1\end{array}\right]\) અને \(B=I+\operatorname{adj}(A)+(\operatorname{adj} A)^2+\ldots \ldots+(\operatorname{adj} A)^{10}\). તો , શ્રેણિક \(B\) નાં તમામ ધટકોનો સરવાળો .......... છે

  1. A \(-110\)
  2. B \(22\)
  3. C \(-88\)
  4. D \(-124\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(-88\)

Step-by-step Solution

Detailed explanation

\(\operatorname{Adj}(\text A )=\left[\begin{array}{cc}1 & -2 \\ 0 & 1\end{array}\right]\) \((\operatorname{Adj}\text A)^2=\left[\begin{array}{cc}1 & -4 \\ 0 & 1\end{array}\right]\) \((\operatorname{Adj}\text A)^{10}=\left[\begin{array}{cc}1 & -20 \\ 0 & 1\end{array}\right]\)…
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