Home
Class 11
MATHS
If A=((1,2,3),(3,2,1)),B=((3,2,1),(1,2,3...

If `A=((1,2,3),(3,2,1)),B=((3,2,1),(1,2,3)),C=((7,2,-3),(-3,2,7))` then C =

A

`3B-2A`

B

`2A+3B`

C

`4A+B`

D

`A+2B`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise DETERMINANTS- EXERCISE - I|15 Videos

  • MATRICES

    AAKASH SERIES|Exercise DETERMINANTS- EXERCISE - II|52 Videos

  • MATRICES

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

I: If A=[(0,1,2),(2,3,4),(4,5,-6)],B=[(-1,2,3),(0,1,0),(0,0,-1)] then 4A-5B=[(5,-6,-7),(8,7,16),(16,20,-19)] II:If A=[(1,2,3),(3,2,1)]B=[(3,2,1),(1,2,3)] then 3B-2A=[(7,2,-3),(-3,2,7)]

If A = [(1,2,3),(3,2,1)] and B = [(3,2,1),(1,2,3)] , find 3B - 2A .

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

IF A=[{:(1,2,3),(3,2,1):}],andB=[{:(3,2,1),(1,2,3):}] find 3B-2A.

IF A=[{:(1,2,3),(3,2,1):}]and B=[{:(3,2,1),(1,2,3):}] , find 3B-2A

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,-2,3),(1,2,4),(2,-1,3):}],B=[{:(1,-2,5),(0,-2,2),(1,2,-3):}]and C=[{:(-2,1,2),(1,1,2),(2,0,1):}] then find A+B+C.

If A=[(2,1,3,-1),(1,-2,2,-3)],B=[(2,1,0,3),(1,-1,2,3)] and 2A+3B-5C=O then C=

If A=[(3,2,-1),(1,5,4),(-2,3,7)], B=[(1,2,1),(2,1,2),(1,2,1)] and 3A+2X=5B then X=

If A=[(1,1,-1),(2,0,3),(3,-1,2)],B=[(1,3),(0,2),(-1,4)] and C=[(1,2,3,-4),(2,0,-2,1)] , find A(BC), (AB)C and show that (AB)C=A(BC) .

AAKASH SERIES-MATRICES -ALGEBRA OF MATRICES -PRACTICE EXERCISE
  1. If A=((1,2,3),(3,2,1)),B=((3,2,1),(1,2,3)),C=((7,2,-3),(-3,2,7)) then ...

    Text Solution

    |

  2. If A=((1,-1),(0,1),(2,3)),B=((2,1),(3,0),(0,1)) and 2A-3B+5X=O then X ...

    Text Solution

    |

  3. If [(4,9),(3,0)]=[(x,y^(2)),(3,0)] then (x,y)=

    Text Solution

    |

  4. If [(1,2,3)]B=[(3,4)] then the order of the matrix B is

    Text Solution

    |

  5. Let A=((1,2),(-2,1)),B=((4,-3),(-5,6),(0,1)) then

    Text Solution

    |

  6. If A=("x y"),B=((a,h),(h,b)),C=((x),(y)) then ABC=

    Text Solution

    |

  7. If A=[(a^(2),ab,ac),(ab,b^(2),bc),(ac,bc,c^(2))], B=[(0,c,-b),(-c,0,a)...

    Text Solution

    |

  8. If A=[(0,-1),(1,0)]B=[(0,i),(i,0)]C=[(i,0),(0,-i)] then

    Text Solution

    |

  9. If the traces of A, B are 17 and 8 then the trace of A+B is

    Text Solution

    |

  10. If the trace of AB is 30 then the trace of BA is

    Text Solution

    |

  11. If A and B are symmetric matrices then ABA is

    Text Solution

    |

  12. If A^(T)B^(T)=C^(T) then C =

    Text Solution

    |

  13. If A=[(k,2,3),(-2,0,5),(-3,-5,0)] is a skew symmetric matrix then k =

    Text Solution

    |

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

    Text Solution

    |

  15. P+Q=[(1,6),(7,2)] , P is a symmetric, Q is a skew symmetric then P =

    Text Solution

    |

  16. If A=[(x,3,2),(-2,y,-7),(-2,7,0)] and A=-A^(T) then x+y=

    Text Solution

    |

  17. If A=[(1,1,3),(5,2,6),(-2,-1,-3)] then A is

    Text Solution

    |

  18. If A is square matrix then A A^(T) is . . . . Matrix

    Text Solution

    |

  19. Let A be a square matrix. Then A+A^(T) will be

    Text Solution

    |

  20. If A and B are two symmetric matrices then AB + BA is

    Text Solution

    |