Question 12 - Inverse of matrix using elementary transformation - Chapter 3 Class 12 Matrices

Last updated at April 16, 2024 by

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

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Ex3.4, 12 Find the inverse of each of the matrices, if it exists.[■8(6&−3@−2&1)] Let A =[■8(6&−3@−2&1)] We know that A = IA [■8(6&−3@−2&1)]= [■8(1&0@0&1)] A R1 →1/6 R1 [■8(𝟔/𝟔&(−3)/6@−2&1)] = [■8(1/6&0/6@0&1)] A [■8(𝟏&(−1)/2@−2&1)] = [■8(1/6&0@0&1)] A R2 →R2 + 2R1 [■8(1&−1/2@−𝟐+𝟐(𝟏)&1+2((−1)/2) )] = [■8(1/6&0@0+2(1/6)&1+2(0))] A [■8(1&−1/2@𝟎&0)] = [■8(1/6&0@1/3&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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo