निम्नलिखित आव्यूह में b 3 का सह-खंड खोजें। Δ: \(= \left[ {\begin{

$निम्नलिखित आव्यूह में b 3 का सह-खंड खोजें। Δ: \(= \left[ {\begin{$

| निम्नलिखित आव्यूह में b₃ का सह-खंड खोजें। Δ: $= \left[ {\begin{array}{*{20}{c}} a_1&{ b_1 }&{c_1}\\ a_2&b_2&{ c_2}\\ a_3&b_3&c_3 \end{array}} \right]$

A. $\left| {\begin{array}{*{20}{c}} a_1 &c_1\\ a_2&c_2 \end{array}} \right| $

B. - b3

C. $-\left| {\begin{array}{*{20}{c}} a_1 &c_1\\ a_2&c_2 \end{array}} \right| $

D. - 1

Please scroll down to see the correct answer and solution guide.

Right Answer is: C

SOLUTION

सह-खंड $a_1 = {A_{11}} = \left| {\begin{array}{*{20}{c}} b_2 &c_2\\ b_3&c_3 \end{array}} \right| $

सह-खंड $b_1 = {A_{12}} = -\left| {\begin{array}{*{20}{c}} a_2 &c_2\\ a_3&c_3 \end{array}} \right| $

सह-खंड $c_1 = {A_{13}} = \left| {\begin{array}{*{20}{c}} a_2 &b_2\\ a_3&b_3 \end{array}} \right| $

सह-खंड $a_2 = {A_{21}} = -\left| {\begin{array}{*{20}{c}} b_1 &c_1\\ b_3&c_3 \end{array}} \right| $

सह-खंड $b_2 = {A_{22}} = \left| {\begin{array}{*{20}{c}} a_1 &c_1\\ a_3&c_3 \end{array}} \right| $

सह-खंड $c_2 = {A_{23}} = -\left| {\begin{array}{*{20}{c}} a_1 &b_1\\ a_3&b_3 \end{array}} \right| $

सह-खंड $a_3 = {A_{31}} = \left| {\begin{array}{*{20}{c}} b_1 &c_1\\ b_2&c_2 \end{array}} \right| $

सह-खंड $b_3 = {A_{32}} =- \left| {\begin{array}{*{20}{c}} a_1 &c_1\\ a_2&c_2 \end{array}} \right| $

सह-खंड $c_3 = {A_{33}} = \left| {\begin{array}{*{20}{c}} a_1 &b_1\\ a_2&b_2 \end{array}} \right| $