Home
Class 12
MATHS
Find values of a and b if A =B where A=...

Find 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):}]` Hints for solution : In given two square matrix if corresponding elements of each raw and column are equal then both matrix are said to be equal matrix.

Text Solution

Verified by Experts

The correct Answer is:
`=2`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Long Answer Type Questions)|4 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Objective type Questions)|15 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK |28 Videos

  • LINEAR PROGRAMMING

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|25 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos

Similar Questions

Explore conceptually related problems

Find the value of a and b: (a+2, 4)= (5, 2a + b)

Find the value of a and b: (2a-5, 4)= (5,b+ 6)

If A=[{:(8,0),(4,-2),(3,6):}]andB=[{:(2,-2),(4,2),(-5,1):}] , then find the matrix X , such that 2A+3X=5B.

A=[{:(1,4),(3,2),(2,5):}]andB=[{:(-1,2),(0,5),(3,1):}] then find the matrix X. where A+B-X=0.0 is a zero matrix.

If A+B=[{:(4,3,2),(4,1,7),(3,2,0):}]andA-B=[{:(6,1,4),(-4,3,9),(5,8,2):}] Then find A and B.

|adjA|=|A|^2 , where A is a square matrix of order two

If A=[{:(1,5),(7,12):}],B=[{:(9,1),(7,8):}] find a matrix C such that 3A+5B+2C is a null matrix.

Find the slope of bar(AB) , where A(-2, 8), B(-2, -2)

Find the value of 49^A+5^B where A=1-(log)_7 2, B=-(log)_5 4.

KUMAR PRAKASHAN-MATRICES -Solutions of NCERT Exemplar Problems (Short Answer Type Questions)
  1. Construct a(2xx2) matrix where (i) a(ij)=((i-2j)^(2))/(2) (ii) ...

    Text Solution

    |

  2. Construct a3xx2 matrix whose elements are given by a(ij)=e^(ix).sin(jx...

    Text Solution

    |

  3. Find values of a and b if A =B where A=[{:(a+4,3b),(8,-6):}],B=[{:(2a...

    Text Solution

    |

  4. If possible , find the sum of the matrices A and B , where A=[{:(sqrt(...

    Text Solution

    |

  5. If X=[{:(3,1,-1),(5,-2,-3):}]andY=[{:(2,1,-1),(7,2,4):}], find (i) X...

    Text Solution

    |

  6. Find non - zero values of x satisfying the matrix equation : x*[{:(...

    Text Solution

    |

  7. If A=[{:(0,1),(1,1):}]andB=[{:(0,-1),(1,0):}] show that (A+B)*(A-B)ne...

    Text Solution

    |

  8. Find x, if [1" "x" "1][{:(1,3,2),(2,5,1),(15,3,2):}][{:(1),(2),(x):}]=...

    Text Solution

    |

  9. Show that A=[{:(5,3),(-1,-2):}] satisfies the equation A^(2)=3A-7I=0 ...

    Text Solution

    |

  10. Find the matrix A satisfying the matrix equation : [{:(2,1),(3,2):}]...

    Text Solution

    |

  11. Find A , if [{:(4),(1),(3):}]A=[{:(-4,8,4),(-1,2,1),(-3,6,3):}]

    Text Solution

    |

  12. If A=[{:(3,-4),(1,1),(2,0):}]andB=[{:(2,1,2),(1,2,4):}],then verify (B...

    Text Solution

    |

  13. If possible , find BA and AB , where A=[{:(2,1,2),(1,2,4):}],B=[{:...

    Text Solution

    |

  14. Show by an example that for AneO,BneO,AB=O.

    Text Solution

    |

  15. Given A=[{:(2,4,0),(3,9,6):}]andB=[{:(1,4),(2,8),(1,3):}]. Is (AB)'=B'...

    Text Solution

    |

  16. Solve for x and y : x[{:(2),(1):}]+y[{:(3),(5):}]+[{:(-8),(-11):}]=...

    Text Solution

    |

  17. If X and Y are 2xx2 matrices , then solve the following matrix equati...

    Text Solution

    |

  18. If A=[3" " 5],B=[7" " 3] , then find a non - zero matrix C such tha...

    Text Solution

    |

  19. Give an example of matrices A,B and C such that AB=AC, where A is nonz...

    Text Solution

    |

  20. If A=[{:(1,2),(-2,1):}],B=[{:(2,3),(3,-4):}]andC=[{:(1,0),(-1,0):}] ve...

    Text Solution

    |