Home
Class 10
MATHS
If A=[{:(,2,x),(,0,1):}] and B=[{:(,4,36...

If `A=[{:(,2,x),(,0,1):}] and B=[{:(,4,36),(,0,1):}]`, find the value of x, given that `A^2=B`

Text Solution

Verified by Experts

The correct Answer is:
x=12
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ICSE|Exercise Exercise 9D|25 Videos

  • MATRICES

    ICSE|Exercise Exercise 9B|11 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

If A=[{:(,3,x),(,0,1):}] and B=[{:(,9,16),(,0,-y):}] find x and y when A^2=B .

If A = [{:((1)/(3),2),(0,2x-3):}] and B =[{:(3,6),(0,-1):}] and AB=I_(2) then value of x is

Given A=[{:(,2,-1),(,2,0):}], B=[{:(,-3,2),(,4,0):}] and C=[{:(,1,0),(,0,2):}] , Find the matrix X such that A+X=2B+C.

If (A -2I)(A-3I)=0 , when A=[{:(4,2),(-1,x):}] and I=[{:(1,0),(0,1):}] , find the value of x

Given A=[{:(,2,-6),(,2,0):}], B=[{:(,-3,2),(,4,0):}] and C=[{:(,4,0),(,0,2):}] . Find the matrix X such that A+2X=2B+C.

Given A=[{:(,-1,0),(,2,-4):}] and B=[{:(,3,-3),(,-2,0):}] find the matrix X in each of the following (i) A+X=B (ii) A-X=B (iii) X-B=A

If A=[{:(,a,0),(,0,2):}], B=[{:(,0,-b),(,1,0):}], M=[{:(,1,-1),(,1,1):}] and BA=M^2 , find the values of a and b.

Given A=[{:(,1,4),(,2,3):}] and B=[{:(,-4,-1),(,-3,-2):}] (i) find the matrix 2A+B. (ii) find a matrix C such that : C+B=[{:(,0,0),(,0,0):}]

ICSE-MATRICES-Exercise 9C
  1. Solve for x and y (i) [{:(,2,5),(,5,2):}] [{:(,x),(,y):}]=[{:(,-7),(...

    Text Solution

    |

  2. In each case given below, find : the order of matrix M, (i) M ...

    Text Solution

    |

  3. If A=[{:(,2,x),(,0,1):}] and B=[{:(,4,36),(,0,1):}], find the value of...

    Text Solution

    |

  4. If A=[{:(,3,7),(,2,4):}], B=[{:(,0,2),(,5,3):}] and C=[{:(,1,-5),(,-4,...

    Text Solution

    |

  5. If A and B are any two 2 xx 2 matrices such that AB=BA=B and B is not ...

    Text Solution

    |

  6. Given A=[{:(,3,0),(,0,4):}], B=[{:(,a,b),(,0,c):}] and AB=A+B, find t...

    Text Solution

    |

  7. If P=[{:(,1,2),(,2,-1):}] and Q=[{:(,1,0),(,2,1):}] then compute : (...

    Text Solution

    |

  8. Give the matrices : A=[{:(,2,1),(,4,2):}], B=[{:(,3,4),(,-1,-2):}] a...

    Text Solution

    |

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

    Text Solution

    |

  10. If A=[{:(,2,1),(,1,3):}] and B=[ {: (, 3),(,-11 ):}] . find the mat...

    Text Solution

    |

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

    Text Solution

    |

  12. If A=[{:(,2,1,-1),(,0,1,-2):}] find: (i) A^(t).A (ii) A.A^(t) wher...

    Text Solution

    |

  13. If M=[{:(,4,1),(,-1,2):}] show that 6M-M^2=9I, where I is a 2 xx 2 uni...

    Text Solution

    |

  14. If P=[{:(,2,6),(,3,9):}] and Q=[{:(,3,x),(,y,2):}]. find x and y such ...

    Text Solution

    |

  15. Evalutate: [{:(,2cos 60^@, -2sin 30^@),(,-tan 45^@,cos 0^@):}] [{:(,...

    Text Solution

    |

  16. State with reason, whether the following are true of false. A, B and C...

    Text Solution

    |

  17. State with reason, whether the following are true of false. A, B and C...

    Text Solution

    |

  18. State with reason, whether the following are true of false. A, B and C...

    Text Solution

    |

  19. State with reason, whether the following are true of false. A, B and C...

    Text Solution

    |

  20. State with reason, whether the following are true of false. A, B and C...

    Text Solution

    |