Home
Class 12
MATHS
If A is a non-singular matrix of order n...

If `A` is a non-singular matrix of order `nxxn` such that `3ABA^(-1)+A=2A^(-1)BA`, then

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If A is a non - singular matrix then

If A is a non singular square matrix of order 3 such that A^(2)=3A , then the value of |A| is

If A is a non-singular square matrix of order 3 such that A^2 = 3A, then value of |A| is A) (-3) B) 3 C) 9 D) 27

If A is a non- singular square matrix of the order 3xx3 such that A^2=3A then (A) -3 (B) 3 (C) 9 (D) 27

If A and B are two non-singular matrices of order 3 such that A A^(T)=2I and A^(-1)=A^(T)-A . Adj. (2B^(-1)) , then det. (B) is equal to

Let A be a non - singular matrix of order 3 such that Aadj (3A)=5A A^(T) , then root3(|A^(-1)|) is equal to

Let A and B are two non - singular matrices of order 3 such that A+B=2I and A^(-1)+B^(-1)=3I , then AB is equal to (where, I is the identity matrix of order 3)

If A is a non-singular square matrix such that |A|=10 , find |A^(-1)|

If A is an 3xx3 non-singular matrix such that A A^'=A^' A and B""=""A^(-1)A^' , then BB' equals (1) I""+""B (2) I (3) B^(-1) (4) (B^(-1))^'

Let A and B are two non - singular matrices of order 3 such that |A|=3 and A^(-1)B^(2)+2AB=O , then the value of |A^(4)-2A^(2)B| is equal to (where O is the null matrix of order 3)

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The equation x^(3)-(3)/(4)x=-(sqrt(3))/(8) is satisfied by

    Text Solution

    |

  2. Let PQR be a triangle . Let veca=overline(QR),vecb = overline(RP) and ...

    Text Solution

    |

  3. If A is a non-singular matrix of order nxxn such that 3ABA^(-1)+A=2A^(...

    Text Solution

    |

  4. The number of triangles that can be formed using the vertices of a 20 ...

    Text Solution

    |

  5. If (x)=|[x^2+4x-3 2x+4 13] [2x^2+5x-9 4x+5 26] [ 8x^2-6x+1 16 x-6 104]...

    Text Solution

    |

  6. Let f: R->R be a function defined by f(x)=(e^(|x|)-e^(-x))/(e^x+e^(-x)...

    Text Solution

    |

  7. If vec aa n d vec b are two vectors and angle between them is thet...

    Text Solution

    |

  8. Range of function f(x)=|6sin^(-1)x-pi|+|6cos^(-1)x-pi| is (a)[0,9pi]...

    Text Solution

    |

  9. Let veca and vecc be unit vectors such that |vecb|=4 and vecaxxvecb=2(...

    Text Solution

    |

  10. Given a tetrahedrone D-ABC with AB=12,CD=6. If the shortest distance b...

    Text Solution

    |

  11. The values of lambda and b for which the equations x+y+z=3, x+3y+2z=...

    Text Solution

    |

  12. Let f : R ->R defined by f(x) = min(|x|, 1-|x|), then which of the fol...

    Text Solution

    |

  13. The x-y plane is rotated about its line of intersection with the y-...

    Text Solution

    |

  14. The domain of the function f(x)= cos^(-1)(x+[x]) is

    Text Solution

    |

  15. Let vec v1= hat i+ hat j+ hat k & vec v2=a hat i+b hat j+c hat k be tw...

    Text Solution

    |

  16. If f:[0,2pi]vec[-1,1]; y=sin x then which of statement is/are true: y=...

    Text Solution

    |

  17. The complete set f values of ' a ' for which (a^2-1)x^2+2(a-1)x+2 is...

    Text Solution

    |

  18. The straight line passing through the point of intersection of the str...

    Text Solution

    |

  19. A person starts writing numbers from 1 to n in a row such that i^(t h)...

    Text Solution

    |

  20. If theta=pi/3, then the volume of pyramid is 1/(sqrt(3)) (b) 1/(3sqrt...

    Text Solution

    |