Show that |(bc-a^2,ca-b^2,ab-c^2),(ca-b^...

Show that `|(bc-a^2,ca-b^2,ab-c^2),(ca-b^2,ab-c^2,bc-a^2),(ab-c^2,bc-a^2,ca-b^2)|=|(a^2,c^2,2ac-b^2),(2ab-c^2,b^2,a^2),(b^2,2bc-a^2,c^2)|`

Promotional Banner

Promotional Banner

Recommended Questions

Show that |(bc-a^2,ca-b^2,ab-c^2),(ca-b^2,ab-c^2,bc-a^2),(ab-c^2,bc-a^...
Text Solution
|
सिद्ध कीजिए की |{:(,a,b,c),(,a^(2),b^(2),c^(2)),(,bc,ca,ab):}|=(a-b)(...
Text Solution
|
show that the determinant |{:(a^(2)+b^(2)+c^(2),,bc+ca+ab,,bc+ca+a...
Text Solution
|
यदि a,b,c में से कोई शून्य नहीं है तो दिखाएँ कि Delta=|{:(-bc,b^(2)+...
Text Solution
|
|{:(" "a^2," "bc,c^2+ca),(a^2+ab," "b^2," "ca),(" "ab,b^2+bc," "c^2...
Text Solution
|
|(b^(3)+c^(2),ab,ac),(ab,c^(2)+a^(2),bc),(ca,bc,a^(3)+b^(2))|=
Text Solution
|
|((a+b)^(2),ca,bc),(ca,(b+c)^(2),ab),(bc,ab,(c+a)^(2))|=
Text Solution
|
|(a,b,c),(a^(2),b^(2),c^(2)),(bc,ca,ab)|=
Text Solution
|
দেখাও যে, [[bc,a,a^2],[ca,b,b^2],[ab,c,c^2]]=(a-b)(b-c)(c-a)(bc+ca+ab)
Text Solution
|