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.

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.

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