Home
Class 11
MATHS
Adj[(1,0,2),(-1,1,-2),(0,2,1)]=[(5,a,-2)...

`Adj[(1,0,2),(-1,1,-2),(0,2,1)]=[(5,a,-2),(1,1,0),(-2,-2,b)]implies[(a,b)]=`

Text Solution

Verified by Experts

The correct Answer is:
`a=4,b=1`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise ALGEBRA OF MATRICES -EXERCISE - I|47 Videos

  • MATRICES

    AAKASH SERIES|Exercise ALGEBRA OF MATRICES - EXERCISE - II|34 Videos

  • MATRICES

    AAKASH SERIES|Exercise Exercise - 3.9 (Long Answer Questions)|9 Videos

  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

Similar Questions

Explore conceptually related problems

If A=[(1,0,2),(0,1,2),(1,2,0)],B=[(1,-2,3),(2,3,-1),(-3,1,2)] then

[(i,0,1),(-1,i,0),(-i,2,1)]+[(2,i,0),(0,2,1),(1,0,-1)]=

If A=[(1,3,0),(-1,2,1),(0,0,2)],B=[(2,3,4),(1,2,3),(-1,1,2)] then AB=

The rank of [(1,0,2),(2,1,0),(3,2,1)]

If A=[(1,2,3),(2,0,-1),(0,2,-2)],B=[(1,0,0),(0,-1,0),(-1,0,2)] then 4A-3B=

Arrange the following matrices in ascending order of value of their trace. (A) [(1,0,0),(0,1,0),(0,0,1)] (B) [(2,3,1),(1,-1,2),(3,0,1)] (C ) [(3,4),(1,5)] (D) [(-2,1),(3,8)]

If A=[(1,2,-3),(5,0,2),(1,-1,1)],B=[(3,-1,2),(4,2,5),(2,0,3)] and C=[(4,1,2),(0,3,2),(1,-2,3)] , then compute (A+B) and (B-C) . Also, verify that A+(B-C)=(A+B)-C .

If A=[(1,-1,2),(2,1,-3),(-2,1,2)],B=[(2,1,0),(2,-3,1),(1,1,-1)] then (A+B)^(T)=

AAKASH SERIES-MATRICES -ADDITIONAL EXERCISE
  1. If a,b,c, are in A.P. then |(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+4,x+c)|...

    Text Solution

    |

  2. Let the three digit number A28, 3B9,62C, where A,B,C are integers betw...

    Text Solution

    |

  3. If f(x)=|(1+sin^(2)x,cos^(2)x,4sin2x),(sin^(2)x,1+cos^(2)x,4sin2x),(si...

    Text Solution

    |

  4. If |(x(1),y(1),1),(x(2),y(2),1),(x(3),y(3),1)|=|(a(1),b(1),1),(a(2),b(...

    Text Solution

    |

  5. If a,b,c are in G.P. then find the value of |{:(a,b,ax+by),(b,c,bx+cy)...

    Text Solution

    |

  6. If f(x)=|(cosx, x,1),(2sinx,x^(2),2x),(tanx,x,1)| then Lt(xto0)(f'(x))...

    Text Solution

    |

  7. Find the value of |{:(sqrt(13)+sqrt(3),2sqrt(5),sqrt(5)),(sqrt(15)+sqr...

    Text Solution

    |

  8. If a="cos"(4pi)/3+I"sin"(4pi)/3,then |(1,1,1),(1,a,a^(2)),(1,a^(2),a)|...

    Text Solution

    |

  9. If D(r)=|(2^(r-1),2(3^(r-1)),4(5^(4-1))),(x,y,z),(2^(n)-1,3^(n)-1,5^(n...

    Text Solution

    |

  10. Adj[(1,0,2),(-1,1,-2),(0,2,1)]=[(5,a,-2),(1,1,0),(-2,-2,b)]implies[(a,...

    Text Solution

    |

  11. A square nonsingular matrix satisfies A^(2)-A+2I=0 then A^(-1)=

    Text Solution

    |

  12. If A is 4xx4 matrix and |2A|=64,B="Adj A" then |"Adj B"|=

    Text Solution

    |

  13. The value of a third order determinan t is 11 then find the value of t...

    Text Solution

    |

  14. If |(x,x+y,x+y+z),(2x,3x+2y,4x+3y+2z),(3x,6x+3y,10x+6y+3z)|=64 then x=

    Text Solution

    |

  15. If |(3x-8,3,3),(3,3x-8,3),(3,3,3x-8)|=0 then x=0

    Text Solution

    |

  16. If a+b+c=0 and |(a-x,c,b),(c,b-x,a),(b,a,c-x)|=0 then x=

    Text Solution

    |

  17. |(-a^(2),ab,ac),(ab,-b^(2),bc),(ac,bc,-c^(2))|=

    Text Solution

    |

  18. Show that |{:(a,c,a+c),(a+b,b,a),(b,b+c,c):}|=4abc

    Text Solution

    |

  19. Solve the system of equations 2/x+3/y+10/z=4,4/x-6/y+5/z=1,6/x+9/y-20/...

    Text Solution

    |

  20. The cost of 3 kg rice, 4 kg wheat, 2 sugar is Rs. 130. The cost of 2kg...

    Text Solution

    |