![Ex 3.4, 14 - Chapter 3 Class 12 Matrices - Part 2](https://d1avenlh0i1xmr.cloudfront.net/6216923c-9810-442d-92d8-0a3fe1a78490/slide36.jpg)
Inverse of matrix using elementary transformation
Inverse of matrix using elementary transformation
Last updated at April 16, 2024 by Teachoo
Ex 3.4, 14 Find the inverse of each of the matrices, if it exists.[■8(2&1@4&2)] Let A = [■8(2&1@4&2)] We know that A = IA [■8(2&1@4&2)] = [■8(1&0@0&1)] A R1 →"R1"−1/2 R2 [■8(𝟐−𝟏/𝟐(𝟒)&1−1/2(2)@4&2)] = [■8(1&0@0&1)] A [■8(0&0@4&2)] = [■8(1&−1/2@0&1)] A Since we have all zeros in the first row of the left hand side matrix of the above equation. Therefore, A−1 does not exist.