Prove that |[-a^(2),ab,ac],[ba,-b^(2),bc...

Prove that `|[-a^(2),ab,ac],[ba,-b^(2),bc],[ca,cb,-c^(2)]|=4a^(2)b^(2)c^(2)`

DETERMINANTS
MODERN PUBLICATION|Exercise Examples (FREQUENCY ASKED QUESTIONS)|28 Videos
DETERMINANTS
MODERN PUBLICATION|Exercise Examples (QUESTIONS FROM NCERT EXAMPLAR|4 Videos
DETERMINANTS
MODERN PUBLICATION|Exercise Chapter test 4|12 Videos
CONTINUITY AND DIFFERENTIABILITY
MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
DIFFERENTIAL EQUATIONS
MODERN PUBLICATION|Exercise CHAPTER TEST (9)|12 Videos

Similar Questions

Explore conceptually related problems

Using properties of determinants,prove that det[[-a^(2),ab,acba,-b^(2),bcca,cb,-c^(2)]]=4a^(2)b^(2)c^(2)

Show that |[b^2+c^2,ab,ac],[ba,c^2+a^2,bc],[ca,cb,a^2+b^2]|=4a^2b^2c^2

Prove that |{:(a^(2)+1,ab,ac),(ab,b^(2)+1,bc),(ac,bc,c^(2)+1):}|=1+a^(2)+b^(2)+c^(2) .

Prove that |[(a+b)^(2),ca,bc],[ca,(b+c)^(2),ab],[bc,ab,(c+a)^(2)]|=2abc(a+b+c)^(3)

Prove that ,,a^(2),bc,ac+c^(2)a^(2)+ab,b^(2),acab,b^(2)+bc,c^(2)]|=4a^(2)b^(2)c^(2)

Prove that: |(a^2+1, ab, ac),(ab, b^2+1, bc),(ac, bc, c^2+1)|=1+a^2+b^2+c^2

det[[a^(2),bc,ac+c^(2)a^(2)+ab,b^(2),acab,b^(2)+bc,c^(2)]]=4a^(2)b^(2)c^(2)

Prove the identities: |[b^2+c^2,ab, ac],[ba,c^2+a^2,bc],[ca, cb ,a^2+b^2]|=4a^2b^2c^2

Prove that det[[1,a,a^(2)-bc1,b,b^(2)-ca1,c,c^(2)-ab]]=0