Home
Class 12
MATHS
Find the values of a ,\ b ,\ c and d f...

Find the values of `a ,\ b ,\ c` and `d` from the following equations: `[(2a+b ,a-2b),(5c-d,4c+3d)]=[(4,-3),( 11, 24)]`

Text Solution

AI Generated Solution

To solve the equations given in the matrix, we will equate the corresponding entries of the two matrices and derive equations from them. Given: \[ \begin{pmatrix} 2a + b & a - 2b \\ 5c - d & 4c + 3d \end{pmatrix} ...
Promotional Banner

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA|Exercise QUESTION|1 Videos
  • ALGEBRA OF VECTORS

    RD SHARMA|Exercise Solved Examples And Exercises|331 Videos

Similar Questions

Explore conceptually related problems

Find the values of a, b, c, and d from the following equation: [2a+b a-2b5c-d4c+3d]=[4-3 11 24]

Find the value of a,b,c and d from the equation: ,2a+c[[a-b,2a+c2a-b,3c+d]]=[[-1,50,13]]

If [(2a+b,a-2b),(5c-d,4c+3d)]=[(4,-3),(11,24)] , then value of a+b-c +2d is :

Find the value of a,b,c and d from equation : [(a-b,2a+c),(2a-b,3c+d)] = [(-1,5),(0,13)]

If [(2a+b, a-2b),(5c-d, 4c+3d)]=[(4,-3),(11,24)] , then value of a + b – c + 2d is:

If a= 2b/3, b= 2c/3, and c=2d/3, then find the ratio of b and d:

Find the values of a,b,c and d, if 3[{:(a,b),(c,d):}]=[{:(a,6),(-1,2d):}]+[{:(4,a+b),(c+d,3):}] .

Find the value of 3a + 2bc -3d^(3) , given that a =5, b = 4, c = 3 and d = 2.

If [(2a+b,a-2b),(5c-d,4c+3d)]=[(4,-3),(11,24)] then the value of a+b-c+2d is (a) 8 (b) 10 (c) 4 (d) -8

Find the value of k , if lines AB and CD are perpendicular , where A = (4,5) , B = (k+ 2 , 3), C = (-3,2) and D (2,4).

RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
  1. Find x,y,a and b if [[3x+4y,2,x-2y],[a+b,2a-b,-1]]=[[2,2,4],[5,-5,-1]]

    Text Solution

    |

  2. Find x ,\ y ,\ a and b if [(2x-3y ,a-b,3),(1,x+4y,3a+4b)]=[(1,-2, 3)...

    Text Solution

    |

  3. Find the values of a ,\ b ,\ c and d from the following equations...

    Text Solution

    |

  4. Find x ,\ y and z so that A=B , where A=[x-2 3 2z 18 z y+2 6z] , B=[y ...

    Text Solution

    |

  5. If [(x,3x-y),(2x+z,3y-omega)]=[(3 ,2 ),(4 ,7)] , find x ,\ y ,\ z ,\ ...

    Text Solution

    |

  6. If [(x-y ,z),(2x-y,omega)]=[(-1 ,4),( 0 ,5)] , find x ,\ y ,\ z ,\ om...

    Text Solution

    |

  7. If [(x+3,z+4 ,2y-7 ),(4x+6,a-1, 0),(b-3 ,3b, z+2c)]=[(0, 6 ,3y-2 ),(2x...

    Text Solution

    |

  8. If [2x+1 5x0y^2+1]=[x+3 10 0 26] , find the value of (x+y) .

    Text Solution

    |

  9. If [x y4z+6x+y]=[8w0 6] , then find the values of x ,\ y ,\ z\ a n ...

    Text Solution

    |

  10. Give an example of (i) a row matrix which is also a column matrix

    Text Solution

    |

  11. The sales figure of two car dealers during January 2013 showed that...

    Text Solution

    |

  12. For what values of x and y are the following matrices equal? A=[2x+...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. If A=[2 3 4 0 4 6 5 8 9] and B=[3 0 5 5 3 2 0 4 7] , find 3A-2B .

    Text Solution

    |

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

    Text Solution

    |

  17. A=[(2,-1),(3,1)] and B=[(1,4),(7,2)] , find 3A-2Bdot

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |