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NDA 2018
Exam
NDA
Year
2018
Subject
Mathematics
Chapter
Matrices

NDA 2018 · Mathematics · Matrices

What should be the value of x so that the matrix ( array ll 2 & 4...

What should be the value of xx so that the matrix \left(24−8x\begin{array}{ll}2 & 4 \\ -8 & x\end{array}$\right) does not have an inverse?$

Options

  1. A16
  2. B-16
  3. C8
  4. D-8

Correct answer

B. -16

Step-by-step solution

A matrix does not have an inverse if |\mathrm{A}|=0\left|24−8x\begin{array}{cc}2 & 4 \\ -8 & x\end{array}\right|=0 \Rightarrow x=-16
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