Home
Class 12
MATHS
If Aa n dB are two non-singular square m...

If `Aa n dB` are two non-singular square matrices obeying commutative rule of multiplication then `A^3B^3(B^2A^4)^(-1)A=` A (b) B (c) `A^2` (d) `B^2`

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 Aa n dB are two non-singular square matrices obeying commutative rule of multiplication then A^3B^3(B^2A^4)^(-1)A= (a)A (b) B (c) A^2 (d) B^2

If A, B are two non-singular matrices of same order, then

If A and B are two non singular matrices and both are symmetric and commute each other, then

If A and B are two non singular matrices and both are symmetric and commute each other, then

If A and B are two non-singular matrices which commute, then (A(A+B)^(-1)B)^(-1)(AB)=

A and B are two non-singular square matrices of each 3xx3 such that AB = A and BA = B and |A+B| ne 0 then

If Aa n dB are two non-singular matrices of the same order such that B^r=I , for some positive integer r >1,t h e nA^(-1)B^(r-1)A=A^(-1)B^(-1)A= I b. 2I c. O d. -I

If A,B and C arae three non-singular square matrices of order 3 satisfying the equation A^(2)=A^(-1) let B=A^(8) and C=A^(2) ,find the value of det (B-C)

If A a n d B are two non-singular matrices of the same order such that B^r=I , for some positive integer r >1,t h e n (A^(-1)B^(r-1)A)-(A^(-1)B^(-1)A)= a. I b. 2I c. O d. -I

Let A and B be two non-singular square matrices such that B ne I and AB^(2)=BA . If A^(3)-B^(-1)A^(3)B^(n) , then value of n is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. In a square matrix A of order 3 the elements a(ij) 's are the sum of...

    Text Solution

    |

  2. If the letters of the word SACHIN arranged in all possible ways and th...

    Text Solution

    |

  3. If Aa n dB are two non-singular square matrices obeying commutative ru...

    Text Solution

    |

  4. Let z be a complex number. If the minimum value of |z|^2+|z-3|^2+|z-3...

    Text Solution

    |

  5. The number of solutions of the equation cot(sin x+3)=1, in [0,3pi] i...

    Text Solution

    |

  6. A bag initially contains 1 red and 2 blue balls. An experiment consist...

    Text Solution

    |

  7. Show that |^x Cr^x C(r+1)^x C(r+2)^y Cr^y C(r+1)^y C(r+2)^z Cr^z C(r+1...

    Text Solution

    |

  8. If f(x)=x^(3)+4x^(2)+lambdax+1 is a monotonically decreasing function ...

    Text Solution

    |

  9. The number of solutions of the matrix equation X^(2) = I other than ...

    Text Solution

    |

  10. The det Delta=|[d^2+r, de, df],[ de, e^2+r, ef],[ df, ef, f^2+r]| is ...

    Text Solution

    |

  11. The equation x^(3)-(3)/(4)x=-(sqrt(3))/(8) is satisfied by

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |