Ex 3.2, 2 - Chapter 3 Class 12 Matrices

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Ex 3.2, 2 Compute the following: (i) [ 8(a&b@ b&a)] + [ 8(a&b@b&a)] [ 8( a&b@ b&a)] + [ 8(a&b@b&a)] = [ 8(a+a&b+b@b+b&a+a)] = [ 8(2a&2b@0&2a)] Ex 3.2,2 Compute the following: (ii) [ 8(a2+b2&b2+c2@a2+c2&a2+b2)] + [ 8(2ab&2bc@ 2ac& 2ab)] [ 8(a2+b2&b2+c2@a2+c2&a2+b2)] + [ 8(2ab&2bc@ 2ac& 2ab)] = [ 8(a2+b2+2ab&b2+c2+2bc@a2+c2 2ac&a2+b2 2ab)] = [ 8((a+b)2&(b+c)2@(a c)2&(a b)2)] Ex 3.2, 2 Compute the following: (iii) [ 8( 1&4& 6@8&5&16@2&8&5)] + [ 8(12&7&6@8&0&5@3&2&4)] [ 8( 1&4& 6@8&5&16@2&8&5)] + [ 8(12&7&6@8&0&5@3&2&4)] = [ 8( 1+12&4+7& 6+6@8+8&5+0&16+5@2+3&8+2&5+4)] = [ 8(11&11&0@16&5&21@5&10&9)] Ex 3.2, 2 Compute the following: (iv) [ 8(cos2 x&sin2 x@sin2 x&cos2 x)] + [ 8(sin2 x&cos2 x@cos2 x&sin2 x)] [ 8(cos2 x&sin2 x@sin2 x&cos2 x)] + [ 8(sin2 x&cos2 x@cos2 x&sin2 x)] = [ 8(cos2 x+sin2 x&sin2 x+cos2 x@sin2 x+cos2 x&cos2 x+sin2 x)] = [ 8(1&1@1&1)]