Home
Class 10
MATHS
If A=[{:(,2,5),(,1,3):}], B=[{:(,4,-2),(...

If `A=[{:(,2,5),(,1,3):}], B=[{:(,4,-2),(,-1,3):}]` and I is the identify matric of the same order and `A^(t)` is the transpose of matrix A, find `A^(t) B+BI`.

Text Solution

Verified by Experts

The correct Answer is:
`[{:(,11,-3),(,16,2):}]`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ICSE|Exercise Exercise 9C|38 Videos

  • MATHEMATICS-2020

    ICSE|Exercise SECTION-B|17 Videos

  • MEASURES OF CENTRAL TENDENCY (MEAN, MEDIAN, QUARTILES AND MODE)

    ICSE|Exercise EXERCISE 24 (E)|23 Videos

Similar Questions

Explore conceptually related problems

A and B are tow square matrices of same order and A' denotes the transpose of A, then

if A=[{:(1,-4,5),(2,1,-3):}]and B=[{:(2,3,-1),(1,2,3):}] then find a matrix C if 2A+3B -4C is a zero matrix.

If A=[{:(,1,3),(,3,4):}], B=[{:(,-2,1),(,-3,2):}] and A^2-5B^2=5C . find matrix C where C is a 2 by 2 matrix.

if A=[{:(1,6),(2,4),(-3,5):}]B=[{:(3,4),(1,-2),(2,-1):}], then find a matrix C such that 2A-B+c=0

if 2A -3B =[{:(4,2),(-1,0),(3,-2):}]and 3A+B=[{:(1,0),(3,5),(-1,4):}] , then find the matrices A And B,

If A=[{:(,2,1,-1),(,0,1,-2):}] find: (i) A^(t).A (ii) A.A^(t) where A^t is the transpose of matrix A.

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

if A=[{:(2,-3),(4,-1):}]and B=[{:(3,0),(-1,2):}], then find matrix C such that 2A-B+3c is a unit matrix.

If A=[[2,4],[5,6]] , show that (A-A^T) is a skew symmetric matrix, where A^T is the transpose of matrix A.

If matrix A=[{:(,2,1,3),(,4,-3,2):}] and B=[{:(,3,-2),(,7,4):}] , find transpose matrices A^t and B^t . If possible, find (i) A+A^t (ii) B+B^t

ICSE-MATRICES-Exercise 9D
  1. If A=[{:(,0,-1),(,4,-3):}], B=[{:(,-5),(,6):}] and 3A xx M=2B, find ma...

    Text Solution

    |

  2. If [{:(,a,3),(,4,1):}]+[{:(,2,b),(,1,-2):}]-[{:(,1,1),(,-2,c):}] =[{:(...

    Text Solution

    |

  3. If A=[{:(,1,2),(,2,1):}] and B=[{:(,2,1),(,1,2):}] find : (i) A(BA) ...

    Text Solution

    |

  4. Find x and y, if : [{:(,x,3x),(,y,4y):}] [{:(,2),(,1):}]=[{:(,5),(,12)...

    Text Solution

    |

  5. If matrix X=[{:(,-3,4),(,2,-3):}] [{:(,2),(,-2):}] and 2X-3Y=[{:(,10),...

    Text Solution

    |

  6. Given A=[{:(,2,-1),(,2,0):}], B=[{:(,-3,2),(,4,0):}] and C=[{:(,1,0),(...

    Text Solution

    |

  7. Find the value of x, given that: A^2=B, A=[{:(,2,12),(,0,1):}] and...

    Text Solution

    |

  8. If A=[{:(,2,5),(,1,3):}], B=[{:(,4,-2),(,-1,3):}] and I is the identif...

    Text Solution

    |

  9. Given A=[{:(,2,-6),(,2,0):}], B=[{:(,-3,2),(,4,0):}] and C=[{:(,4,0),(...

    Text Solution

    |

  10. Let A=[{:(,4,-2),(,6,-3):}], B=[{:(,0,2),(,1,-1):}] and C=[{:(,-2,3),(...

    Text Solution

    |

  11. Let A=[{:(,1,0),(,2,1):}], B=[{:(,2,3),(,-1,0):}]. Find A^2+AB+B^2

    Text Solution

    |

  12. If A=[{:(,3,a),(,-4,8):}], B=[{:(,c,4),(,-3,0):}] , C=[{:(,-1,4),(,3,b...

    Text Solution

    |

  13. Given A=[{:(,p,0),(,0,2):}], B=[{:(,0,-q),(,1,0):}], C=[{:(,2,-2),(,2,...

    Text Solution

    |

  14. Given A=[{:(,3,-2),(,-1,4):}], B=[{:(,6),(,1):}], C=[{:(,-4),(,-5):}] ...

    Text Solution

    |

  15. Evaluate : [{:(,4 sin 30^@ 2 cos 60^@), (,sin 90^@ 2 cos 0^@):}] ...

    Text Solution

    |

  16. If A=[{:(,3,1),(,-1,2):}] and I=[{:(,1,0),(,0,1):}],find A^2-5A+7I.

    Text Solution

    |

  17. Given A=[{:(,2,0),(,-1,7):}] and I=[{:(,1,0),(,0,1):}] and A^2 =9A+mI....

    Text Solution

    |

  18. Given matrix A=[{:(,4sin30^@ cos 0^@),(,cos 0^@ 4 sin 30^@):}] and B=...

    Text Solution

    |

  19. If A=[{:(,1,3),(,3,4):}], B=[{:(,-2,1),(,-3,2):}] and A^2-5B^2=5C. fin...

    Text Solution

    |

  20. Given matrix B=[{:(,1,1),(,8,3):}]. Find the matrix X if, X=B^2-4B. He...

    Text Solution

    |