Home
Class 12
MATHS
Show that |{:(a-b-c," "2a," "2a),(" "...

Show that `|{:(a-b-c," "2a," "2a),(" "2b,b-c-a," "2b),(" "2c," "2c,c-a-b):}|=(a+b+c)^(3)`

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    NCERT TELUGU|Exercise EXERCISE 4.3|7 Videos
  • DETERMINANTS

    NCERT TELUGU|Exercise EXERCISE 4.4|5 Videos
  • DETERMINANTS

    NCERT TELUGU|Exercise EXERCISE 4.1|8 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 5|22 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISE|18 Videos

Similar Questions

Explore conceptually related problems

|(a-b-c,2b,2c),(2a,b-c-a,2c),(2a,2b,c-a-b)|=

Without expanding the determinant, prove that {:[( a, a ^(2), bc ),( b ,b ^(2) , ca),( c, c ^(2) , ab ) ]:} ={:[( 1, a^(2) , a^(3) ),( 1,b^(2) , b^(3) ),( 1, c^(2),c^(3)) ]:}

Show that |{:(a+b+2c,a,b),(c,b+c+2a,b),(c,a,c+a+2b):}|=2(a+b+c)^3

Show that |(a+b+2c,a,b),(c,b+c+2a,b),(c,a,c+a+2b)|=2(a+b+c)^(3) .

Show that |{:(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a):}|=2|{:(a,b,c),(b,c,a),(c,a,b):}|

Show that |{:(1,a,a^2),(1,b,b^2),(1,c,c^2):}|=(a-b)(b-c)(c-a)

Show that |{:(1,a,a^2),(1,b,b^2),(1,c,c^2):}|=(a-b)(b-c)(c-a)