Home
Class 12
MATHS
Find the values of a,b,c and d, if 3[{...

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):}]`.

Text Solution

Verified by Experts

we have,
`3[{:(a,b),(c,d):}]=[{:(a,6),(-1,2d):}]+[{:(4,a+b),(c+d,3):}]`
`rArr [{:(3a,3b),(3c,3d):}]=[{:(a+4, 6+a+b),(c+d-1,3+2d):}]`
`rArr 3a=a+4rArra=2`.
`3b=6+a+b`
`rArr 3b-b=8rArrb=4`
and `rArr 3c=c+d-1`
`rArr 3c=c+d-1`
`therefore 2c=3-1c=1`
`therefore a=2,b=4,c=1` and d=3
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NCERT EXEMPLAR|Exercise Linear Programming|45 Videos
  • PROBABILITY

    NCERT EXEMPLAR|Exercise Probability|107 Videos

Similar Questions

Explore conceptually related problems

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

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

Find the values of a,b,c and d from the following equations: [[2a+b,a-2b5c-d,4c+3d]]=[[4,-311,24]]

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

If ({:(1, 0),(0, 1):})({:(a, b+c),(b-c, d):}) = ({:(4, -5),(3, 2):}) , then (a-b) + (c-d)=____.

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 value of a+b-c +2d is :

Match the following: (a) {:(A,B,C,D),(2,3,4,1):} (b) {:(A,B,C,D),(4,1,3,2):} (c) {:(A,B,C,D),(4,3,2,1):} (d) {:(A,B,C,D),(1,4,2,3):}

if a=3,b=0,c=2 and d=1 ,find the vale 3a+3b-6c+4d

NCERT EXEMPLAR-MATRICES-Matrices
  1. If A=[{:(1,5),(7,12):}] and B=[{:(9,1),( 7,8):}] then find a matrix C ...

    Text Solution

    |

  2. If A=[{:(3,-5),(-1,2):}] then find A^(2)-5A- 4I.

    Text Solution

    |

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

    Text Solution

    |

  4. Find the matrix A such that [{:(2,-1), (1,0),(-3,4):}]A=[{:(-1,-8,-10)...

    Text Solution

    |

  5. If A=[{:(1,2),(4,1):}] , then find A^(2)+2A+7I.

    Text Solution

    |

  6. If A=[{:(cos alpha,sin alpha),(-sin alpha, cos alpha):}] and A^(-1)=A'...

    Text Solution

    |

  7. If matrix [{:(0,a,3),(2,b,-1),(c,1,0):}] is skew-symmetric matrix, the...

    Text Solution

    |

  8. If P(x)=[(cosx, sinx),(-sinx, cosx)], then show that P(x).P(y)=P(x+y)=...

    Text Solution

    |

  9. If A is square matrix such that A^(2)=A, then show that (I+A)^(3)=7A+I...

    Text Solution

    |

  10. If A, B are square matrices of same order and B is skew-symmetric mat...

    Text Solution

    |

  11. Let A ,B be two matrices such that they commute. Show that for any pos...

    Text Solution

    |

  12. z, if A='[{:(0,2y,z),(x,y,-z),(x,-y,z):}] satisfy A'=A^(-1)

    Text Solution

    |

  13. If possible using elementary row transformations, find the inverse of ...

    Text Solution

    |

  14. Express the matrix [{:(2 ,1),(3,4):}] as the sum of a symmetric and a ...

    Text Solution

    |

  15. The matrix P=[{:(0,0,4),(0,4,0),(4,0,0):}] is a

    Text Solution

    |

  16. Total number of possible matrices of order 3xx3 with each entry 2 or 0...

    Text Solution

    |

  17. [{:(2x+y,4x),(5x-7,4x):}]=[{:(7,7y-13),(y,x+6):}] then the value of x,...

    Text Solution

    |

  18. If A=1/pi[sin^(-1)(pix)tan^(-1)(x/pi)sin^(-1)(x/pi)cot^(-1)(pix)] and ...

    Text Solution

    |

  19. If A and B are two matrices of the order 3 xx m and 3 xx n, respective...

    Text Solution

    |

  20. If A=[{:(0,1),(1,0):}] then A^(2) is equal to

    Text Solution

    |