3 and 4 .Determinants and Matrices
easy

 यदि $\left[ {\begin{array}{*{20}{c}}0&1&{ - 2}\\{ - 1}&0&3\\\lambda &{ - 3}&0\end{array}} \right]$ अव्युत्क्रमणीय आव्यूह हो, तो  $\lambda $=

A

$-2$

B

$-1$

C

$1$

D

$2$

Solution

(d)आव्यूह $A = \left[ {\begin{array}{*{20}{c}}{\,\,0}&{\,\,1}&{ – 2}\\{ – 1}&{\,\,0}&{\,\,3}\\{\,\,\lambda }&{ – 3}&{\,\,0}\end{array}} \right]$ अव्युत्क्रमणीय है, यदि 

$|A| = 0   ⇒ 0 – 1( – 3\lambda ) + ( – 2)(3) = 0$

  $ \Rightarrow 3\lambda  – 6 = 0 \Rightarrow \lambda  = 2$.

Standard 12
Mathematics

Similar Questions

Start a Free Trial Now

Confusing about what to choose? Our team will schedule a demo shortly.