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If \(\left| \begin{array}{cc} -x & 2 \\ 4x &1 \end{array} \right|\) = \(\left| \begin{array}{cc} 3 & 3x \\...

Mathematics
JAMB 2003

If \(\left| \begin{array}{cc} -x & 2 \\ 4x &1 \end{array} \right|\) = \(\left| \begin{array}{cc} 3 & 3x \\ 4 & -5 \end{array} \right|\), find the value of x 

  • A. 5
  • B. 2
  • C. -2
  • D. -5
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Correct Answer: Option D
Explanation

\(\left| \begin{array}{cc} -x & 2 \\ 4x &1 \end{array} \right|\) = \(\left| \begin{array}{cc} 3 & 3x \\ 4 & -5 \end{array} \right|\),

Means that the determinants of both Matrices are equal

- x - 8x = -15 - 12x 

-9x = -15 - 12x

12x - 9x = - 15

3x = -15

x = \(\frac{-15}{3}\) = -5

There is an explanation video available below.


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Explanation Video

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