यदि आव्यूह left[ {begin{array}{*{20}{c}}1&3&{λ + 2}2&4&83&a

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3 and 4 .Determinants and Matrices

easy

यदि आव्यूह $\left[ {\begin{array}{*{20}{c}}1&3&{\lambda + 2}\\2&4&8\\3&5&{10}\end{array}} \right]$ अव्युत्क्रमणीय है, तब $\lambda = $

A

$-2$

B

$4$

C

$2$

D

$-4$

Solution

(b) आव्यूह $\left[ {\begin{array}{*{20}{c}}1&3&{\lambda + 2}\\2&4&8\\3&5&{10}\end{array}} \right]$ अव्युत्क्रमणीय है,

यदि $\,\left| {\,\begin{array}{*{20}{c}}1&3&{\lambda + 2}\\2&4&8\\3&5&{10}\end{array}\,} \right| = 0$

$\Rightarrow$ $1(40 – 40) – 3(20 – 24) + (\lambda + 2)(10 – 12) = 0$

$\Rightarrow$ $2(\lambda + 2) = 12 \Rightarrow \lambda = 4.$

Standard 12

Mathematics

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