Question 14 - Ex 3.4 - Chapter 3 Class 12 Matrices
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 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.
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