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

અહી  \(A+2 B=\left[\begin{array}{ccc}1 & 2 & 0 \\ 6 & -3 & 3 \\ -5 & 3 & 1\end{array}\right]\) અને  \(2 A - B =\left[\begin{array}{ccc}2 & -1 & 5 \\ 2 & -1 & 6 \\ 0 & 1 & 2\end{array}\right] \) આપેલ છે જો  If \(\operatorname{Tr}( A )\) એ શ્રેણિક \(A \) ના વિકર્ણો ઘટકોનો સરવાળો દર્શાવે છે તો \(\operatorname{Tr}( A )-\operatorname{Tr}( B )\) ની કિમંત મેળવો.

  1. A \(1\)
  2. B \(2\)
  3. C \(0\)
  4. D \(3\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(2\)

Step-by-step Solution

Detailed explanation

\(A +2 B =\left(\begin{array}{ccc}1 & 2 & 0 \\ 6 & -3 & 3 \\ -5 & 3 & 1\end{array}\right) \quad \ldots(1)\) \(2 A - B =\left(\begin{array}{ccc}2 & -1 & 5 \\ 2 & -1 & 6 \\ 0 & 1 & 2\end{array}\right)\)…
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