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GUJCET · Maths · Matrices

જો \(\mathrm{A}=\left[\begin{array}{lll}2 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 3\end{array}\right]\) , તો \(A^{-1}\) નાં બધા જ ઘટકોનો સરવાળો _________ થાય.

  1. A \(0\)
  2. B \(-6\)
  3. C \(\frac{11}{6}\)
  4. D 6
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{11}{6}\)

Step-by-step Solution

Detailed explanation

\(A^{-1}=\left[\begin{array}{ccc}1/2 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1/3\end{array}\right]\) ઘટકોનો સરવાળો \( = \frac{1}{2} + 1 + \frac{1}{3} \)
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