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Ex 3.4, 12 - Find inverse of matrix [6 -3 -2 1] - Ex 3.4

Ex 3.4, 12 - Chapter 3 Class 12 Matrices - Part 2


Ex3.4, 12 Find the inverse of each of the matrices, if it exists.[■8(6&−[email protected]−2&1)] Let A =[■8(6&−[email protected]−2&1)] We know that A = IA [■8(6&−[email protected]−2&1)]= [■8(1&[email protected]&1)] A R1 →1/6 R1 [■8(𝟔/𝟔&(−3)/[email protected]−2&1)] = [■8(1/6&0/[email protected]&1)] A [■8(𝟏&(−1)/[email protected]−2&1)] = [■8(1/6&[email protected]&1)] A R2 →R2 + 2R1 [■8(1&−1/[email protected]−𝟐+𝟐(𝟏)&1+2((−1)/2) )] = [■8(1/6&[email protected]+2(1/6)&1+2(0))] A [■8(1&−1/[email protected]𝟎&0)] = [■8(1/6&[email protected]/3&1)] A Since we have all zeros in the second row of the left hand side matrix of the above equation. Therefore, A-1 does not exist.

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.