[xa ya zc] [x y z]
[a² b² c²]=[a b c]
[1 1 1] [bc ca ab]
[xa ya zc] [x y z]
[a² b² c²]=[a b c]
[1 1 1] [bc ca ab]
without expanding determine show that LHS=RHS
Answers
Answered by
2
Answer:
LHS :
∣
∣
∣
∣
∣
∣
∣
∣
a
b
c
a
2
b
2
c
2
bc
ca
ab
∣
∣
∣
∣
∣
∣
∣
∣
=
abc
1
∣
∣
∣
∣
∣
∣
∣
∣
a
2
b
2
c
2
a
3
b
3
c
3
abc
abc
abc
∣
∣
∣
∣
∣
∣
∣
∣
[R
1
→aR
1
,R
2
→bR
2
,R
3
→cR
3
]
=
abc
abc
∣
∣
∣
∣
∣
∣
∣
∣
a
2
b
2
c
2
a
3
b
3
c
3
1
1
1
∣
∣
∣
∣
∣
∣
∣
∣
=
∣
∣
∣
∣
∣
∣
∣
∣
a
2
b
2
c
2
a
3
b
3
c
3
1
1
1
∣
∣
∣
∣
∣
∣
∣
∣
=
∣
∣
∣
∣
∣
∣
∣
∣
1
1
1
a
2
b
2
c
2
a
3
b
3
c
3
∣
∣
∣
∣
∣
∣
∣
∣
=RHS [C
1
↔C
3
,C
2
↔C
3
]
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