Home
Class 12
MATHS
Find the values of a\ a n d\ b if A=B , ...

Find the values of `a\ a n d\ b` if `A=B` , where `A=[a+4 3b8-6]` , `B=[2a+2b^2+2 8b^2-56]`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA ENGLISH|Exercise All Questions|181 Videos

  • ALGEBRA OF VECTORS

    RD SHARMA ENGLISH|Exercise All Questions|325 Videos

Similar Questions

Explore conceptually related problems

Find the values of a and b if A=B , where A=[[a+4,3b],[8,-6]],B=[[2a+2,b^2+2],[8,b^2-5b]]

Find the values of a\ a n d\ b ,\ if\ (3a-2,\ b+3)=(2a-1,\ 3)dot

If 49392=a^4b^2c^3, find the value of a ,\ b\ a n d\ c , where a ,\ b\ a n d\ c are different positive primes.

If A= [[1,2],[3,4]] , adjA= [[4,a],[-3,b]] , then the values of a and b are: (a) a=-2, b=1 (b) a=2, b= 4 (c) a=2, b=-1 (d) a=1, b=-2

Find the values of each of the following expressions for a=1,\ b=2\ a n d\ c=-1. (i) a^2+b^2+2a b (ii) 2a^2-b^2c+3a b c

Simplify and find the value of the following expression when a=3 and b=1: 4(a^2+b^2+2a b)-[4(a^2+b^2-2a b)-{-b^3+4(a-3)}]

Find a matrix X of order 3xx2 such that 2A+3X=58B , where A=[[8,0],[4,-2],[3,6]], B=[[2,-2],[4,2],[-5,1]]

If both a\ a n d\ b are rational numbers, find the values of a\ a n d\ b in each of the following equalities: (sqrt(2)+\ sqrt(3))/(3sqrt(2\ )-\ 2sqrt(3))=a-b\ sqrt(6)

If a+b=8\ \ a n d\ \ a b=6, find the value of a^3+b^3

If a+b=10\ \ a n d\ \ \ a b=16 , find the value of a^2-a b+b^2\ a n d\ \ a^2+a b+b^2

RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. For what values of x\ a n d\ y are the following matrices equal? A=...

    Text Solution

    |

  2. Find the values of x\ a n d\ y if [(x+10 ,y^2+2y),(0,-4)]=[(3x+4,3),...

    Text Solution

    |

  3. Find the values of a\ a n d\ b if A=B , where A=[a+4 3b8-6] , B=[2a+2b...

    Text Solution

    |

  4. If A=[(2,3,4),(0,4,6), (5,8,9)] and B=[(3 ,0 ,5) ,(5 ,3 ,2), (0 ,4 ,7)...

    Text Solution

    |

  5. If A=[(2 ,3,-5 ),(1, 2,-1)] and B=[(0, 5,1),(-2, 7, 3)] , find A+B ...

    Text Solution

    |

  6. If A=[2-1 3 1] and B=[1 4 7 2] , find 3A-2Bdot

    Text Solution

    |

  7. If A=[(1,0,0),(0,-1,0),(0,0,2)] and B=[(2,0,0),(0, 3,0),(0,0,-1)] , ...

    Text Solution

    |

  8. Simplify: costheta[costhetasintheta-sinthetacostheta]+sintheta[sinthet...

    Text Solution

    |

  9. Find X and Y , if X+Y=[7 0 2 5] and X-Y=[3 0 0 3] .

    Text Solution

    |

  10. Find a matrix A , if A+[2 3-1 4]=[3-6-3 8] .

    Text Solution

    |

  11. Find x ,\ y ,\ z ,\ t if 2[(x, z ),(y ,t)]+3[(1,-1),( 0, 2)]=3[(3, 5)...

    Text Solution

    |

  12. Find non-zero values of x satisfying the matrix equation: x[2x2 ...

    Text Solution

    |

  13. If A ,\ B and C are three matrices of the same order, then prove th...

    Text Solution

    |

  14. Find a matrix X such that 2A+B+X=O , where A=[[-1, 2],[ 3, 4]] and B=[...

    Text Solution

    |

  15. Find a matrix A such that 2A-3B+5C=O , where B=[[-2, 2, 0],[ 3, 1 ,4]]...

    Text Solution

    |

  16. Solve the matrix equation [x^2y^2]-3[x2y]=[-2 9] .

    Text Solution

    |

  17. Two farmers Ramkishan and Gurcharan Singh cultivates only three var...

    Text Solution

    |

  18. Compute the following sums: [[3,-2],[ 1, 4]]+[[-2, 4],[ 1 ,3]]

    Text Solution

    |

  19. Let A=[[2,4],[3,2]] , B=[[1 ,3],[-2 ,5]], C=[[-2,5],[3,4]] ,FIND: ...

    Text Solution

    |

  20. If A=[(2, 3),( 5 ,7)] , B=[(-1 ,0, 2),( 3, 4, 1)] , C=[(-1, 2 ,3),( ...

    Text Solution

    |