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Ex 3.3, 6 - Chapter 3 Class 12 Matrices - Part 3

Ex 3.3, 6 - Chapter 3 Class 12 Matrices - Part 4

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Ex 3.3, 6 (ii) If A = [ 8(sin &cos @ cos &sin )] , then verify that A A = I Taking L.H.S A A Given A = [ 8(sin &cos @ cos &sin )] So, A = [ 8(sin & cos @cos &sin )] A A = [ 8(sin & cos @cos &sin )] [ 8(sin &cos @ cos &sin )] = [ 8(sin .sin + ( cos ) ( cos ) &sin .cos + ( cos ) (sin ) @cos .sin +sin ( cos ) &cos .cos +sin .sin )] = [ 8(sin2 +cos2 &sin cos cos sin @cos sin sin cos &cos2 +sin2 )] = [ 8(sin2 +cos2 &[email protected]&cos2 +sin2 )] Using sin2 + cos2 = 1 = [ 8(1&[email protected]&1)] = I = R.H.S Hence L.H.S = R.H.S Hence Proved

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.