Home
Class 12
MATHS
Write the value of k, if |{:(aa1,aa2,a...

Write the value of k, if
`|{:(aa_1,aa_2,aa_3),(ab_1,ab_2,ab_3),(ac_1,ac_2,ac_3):}|=k|{:(a_1,b_1,c_1),(a_2,b_2,c_2),(a_3,b_3,c_3):}|`

Text Solution

Verified by Experts

The correct Answer is:
`a^3`
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT PRAKASHAN|Exercise TOPIC -1 (PRACTICE QUESTIONS) (4 MARK QUESTIONS) |9 Videos
  • DETERMINANTS

    ARIHANT PRAKASHAN|Exercise TOPIC -1 (PRACTICE QUESTIONS) (6 MARK QUESTIONS) |7 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PRAKASHAN|Exercise Chapter test (6 mark question)|8 Videos
  • DIFFERENTIAL EQUATIONS

    ARIHANT PRAKASHAN|Exercise Chapter test (6 MARKS Questions)|8 Videos

Similar Questions

Explore conceptually related problems

Show that [[a_1,b_1,-c_1],[-a_2,b_2,c_2],[a_3,b_3,-c_3]]= [[a_1,b_1,c_1],[a_2,b_2,c_2],[a_3,b_3,c_3]]

Without expanding the determinants 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):}|

The system of equations a_1x+b_1y+c_1z=0 a_2x+b_2y+c_2z=0 a_3x+b_3y+c_3z=0 [[a_1,b_1,c_1],[a_2,b_2,c_2],[a_3,b_3,c_3]]=0

Write the number of solution of the following system of equation. a_1x+b_1y+c_1z=0 a_2x+b_2y+c_2z=0 a_3x+b_3y+c_3z=0 and [[a_1,b_1,c_1],[a_2,b_2,c_2],[a_3,b_3,c_3]] =0

Show that: abs((a,a^2,a^3),(b,b^2,b^3),(c,c^2,c^3))=abc(a-b)(b-c)(c-a)

Write the matrix product AB, if A=[{:(1,2),(3,4):}] and B=[{:(2,0),(0,2):}]

Show that by eliminating alpha and beta from the equations. a_ialpha+b beta_i+c_i =0, i=1,2,3 we get [[a_1,b_1,c_1],[a_2,b_2,c_2],[a_3,b_3,c_3]] =0