@@MinhPham-bx9mw why sir says ( after Qn example proved group) G,x called group of nth root of unity ...and all elements of G os nth root of unity when he has already said that Qn is primitive root of unity ie Qn^m not equals 1 when m
@@AvinashKumar-jc3ng why sir says ( after Qn example proved group) G,x called group of nth root of unity ...and all elements of G os nth root of unity when he has already said that Qn is primitive root of unity ie Qn^m not equals 1 when m
@20.10 sir 2×2 matrix and 3×3 matrix all are square matrix but we can't multiply with each other. Means that's closure property even not hold in square matrices. .. .
@@mohammadasim1861 why sir says ( after Qn example proved group) G,x called group of nth root of unity ...and all elements of G os nth root of unity when he has already said that Qn is primitive root of unity ie Qn^m not equals 1 when m
@@UnskilledShots why sir says ( after Qn example proved group) G,x called group of nth root of unity ...and all elements of G os nth root of unity when he has already said that Qn is primitive root of unity ie Qn^m not equals 1 when m
Outstanding sir
woww amazing sesion
Marvellous sir
Superb lecture
Great session
I am very pleased with the explanation.
ohh sir thanks a lot
is invertible matrices has properties of associative
yes all valid matrix multiplication is associative
@@MinhPham-bx9mw why sir says ( after Qn example proved group) G,x called group of nth root of unity ...and all elements of G os nth root of unity when he has already said that Qn is primitive root of unity ie Qn^m not equals 1 when m
how can theta n be the primitive nth root of unity..shouldn't it be theta n ^n ?
@Apurva Rai No, because theta n^n =1 and 1^(1/n)=theta will give the nth roots of unity
@@AvinashKumar-jc3ng why sir says ( after Qn example proved group) G,x called group of nth root of unity ...and all elements of G os nth root of unity when he has already said that Qn is primitive root of unity ie Qn^m not equals 1 when m
@20.10 sir 2×2 matrix and 3×3 matrix all are square matrix but we can't multiply with each other. Means that's closure property even not hold in square matrices. .. .
ohh dear it means we have to take same order of square matrix
That's why he first fixed m and n
@@mohammadasim1861 why sir says ( after Qn example proved group) G,x called group of nth root of unity ...and all elements of G os nth root of unity when he has already said that Qn is primitive root of unity ie Qn^m not equals 1 when m
@@UnskilledShots why sir says ( after Qn example proved group) G,x called group of nth root of unity ...and all elements of G os nth root of unity when he has already said that Qn is primitive root of unity ie Qn^m not equals 1 when m