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Ex 3.3

Ex 3.3, 1

Ex 3.3, 2

Ex 3.3, 3

Ex 3.3, 4 Important

Ex 3.3, 5 (i)

Ex 3.3, 5 (ii)

Ex 3.3, 6 (i)

Ex 3.3, 6 (ii) Important

Ex 3.3, 7 (i)

Ex 3.3, 7 (ii) Important

Ex 3.3, 8

Ex 3.3, 9 You are here

Ex 3.3, 10 (i) Important

Ex 3.3, 10 (ii)

Ex 3.3, 10 (iii) Important

Ex 3.3, 10 (iv)

Ex 3.3, 11 (MCQ) Important

Ex 3.3, 12 (MCQ)

Chapter 3 Class 12 Matrices

Serial order wise

Last updated at June 8, 2023 by Teachoo

Ex 3.3, 9 Find 1/2 (A + A’)and 1/2 (A – A’) , when A = [■8(0&a&b@−a&0&c@−b&−c&0)] A = [■8(0&a&b@−a&0&c@−b&−c&0)] A‘ = [■8(0&−a&−b@a&0&−c@b&c&0)] 1/2 (A + A’) = 1/2 ([■8(0&a&b@−a&0&c@−b&−c&0)]"+" [■8(0&−a&−b@a&0&−c@b&c&0)]) = 1/2 [■8(0&0&0@0&0&0@0&0&0)] = [■8(𝟎&𝟎&𝟎@𝟎&𝟎&𝟎@𝟎&𝟎&𝟎)] 𝟏/𝟐 (A − A’) = 1/2 ([■8(0&𝑎&𝑏@−𝑎&0&𝑐@−𝑏&−𝑐&0)]−[■8(0&−𝑎&−𝑏@𝑎&0&−𝑐@𝑏&𝑐&0)]) = 𝟏/𝟐 [■8(𝟎&𝟐𝒂&𝟐𝒃@−𝟐𝒂&𝟎&𝟐𝒄@−𝟐𝒃&−𝟐𝒄&𝟎)] = [■8(1/2×0&1/2×2𝑎&1/2×2𝑏@1/2×−2𝑎&1/2×0&1/2×2𝑐@1/2×−2𝑏&1/2×−2𝑐&1/2×0)] = [■8(𝟎&𝒂&𝒃@−𝒂&𝟎&𝒄@−𝒃&−𝒄&𝟎)]