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Ex 3.3
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 You are here
Ex 3.3, 7 (i)
Ex 3.3, 7 (ii) Important
Ex 3.3, 8
Ex 3.3, 9
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)
Last updated at March 16, 2023 by Teachoo
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