Question 14 - Inverse of matrix using elementary transformation - Chapter 3 Class 12 Matrices

Last updated at August 13, 2026 by

Ex 3.4, 14 - Find inverse of [2 4 1 2] - Matrices NCERT - Inverse of matrix using elementary transformation

Ex 3.4, 14 - Chapter 3 Class 12 Matrices - Part 2

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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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