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Ex 3.3, 9 - Chapter 3 Class 12 Matrices
Last updated at June 8, 2023 by Teachoo
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
Transcript
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)]
