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GUJCET · Maths · Matrices

જો \(A= \left[\begin{array}{lll}2 & 3 & 4\end{array}\right]\left[\begin{array}{lll}1 & x & 3 \\ 2 & 4 & 5 \\ 3 & 2 & x\end{array}\right]\left[\begin{array}{l}x \\ 2 \\ 0\end{array}\right]\) = O હોય, તો = \(x\) _________

  1. A \(\frac{7}{3}\)
  2. B \(\frac{5}{3}\)
  3. C \(-\frac{5}{3}\)
  4. D \(-\frac{7}{3}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(-\frac{5}{3}\)

Step-by-step Solution

Detailed explanation

\( \left[ \begin{array}{ccc} 20 & 2x+20 & 21+4x \end{array} \right] \left[ \begin{array}{l} x \\ 2 \\ 0 \end{array} \right] = O \) \( 20x + (2x+20)2 + (21+4x)0 = 0 \)
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