Home
Class 12
MATHS
Let P and Q be 3xx3 matrices with P!=Q ....

Let P and Q be `3xx3` matrices with `P!=Q` . If `P^3=""Q^3a n d""P^2Q""=""Q^2P` , then determinant of `(P^2+""Q^2)` is equal to (1) `2` (2) 1 (3) 0 (4) `1`

A

1

B

0

C

`-1`

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B -Architecture Entrance Examination Papers|22 Videos

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|20 Videos

  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTRE ENTRANCE EXAMINATION PAPERS|9 Videos

Similar Questions

Explore conceptually related problems

Let P and Q be 3xx3 matrices with P!=Q. If P^(3)=Q^(3) and P^(2)Q=Q^(2)P, then determinant of (P^(2)+Q^(2)) is equal to (1)2(2)1(3)0(4)1

The Boolean expression sim(p vv q)vv(sim p^^q) is equivalent to (1)-p(2)p(3)q(4)sim q

Verify that (p-q) ( p ^(2) + pq + q ^(2)) = p ^(3) - q ^(3)

The Boolean Expression (p^^~ q)vvqvv(~ p^^q) is equivalent to : (1) ~ p^^q (2) p^^q (3) pvvq (4) pvv~ q

If P=[(lambda,0),(7,1)] and Q=[(4,0),(-7,1)] such that P^(2)=Q , then P^(3) is equal to

2p+3q=18 and 4p^2+4pq–3q2−36=0 then what is (2p+q) equal to?

MCGROW HILL PUBLICATION-MATRICES-Questions from Previous Years. AIEEE /JEE Main Papers
  1. If the trivial solution is the only solution of the system of equation...

    Text Solution

    |

  2. Let A and B two symmetric matrices of order 3. Statement 1 : A(BA) a...

    Text Solution

    |

  3. Let P and Q be 3xx3 matrices with P!=Q . If P^3=""Q^3a n d""P^2Q""=""Q...

    Text Solution

    |

  4. Let A=((1,0,0),(2,1,0),(3,2,1)). If u(1) and u(2) are column matrices ...

    Text Solution

    |

  5. If P=[[1, alpha, 3], [1, 3, 3], [2, 4, 4]] is the adjoint of 3times3 m...

    Text Solution

    |

  6. The number of values of k, for which the system of equations (k""+"...

    Text Solution

    |

  7. If the system of linear equations x1 + 2x2 + 3x3 = 6, x1 + 3x2 + 5x3 =...

    Text Solution

    |

  8. If p, q, r are 3 real number satisfying the matrix equation, [p q r][[...

    Text Solution

    |

  9. Consider the system of equations : x + ay = 0, y + az = 0 and z + ax=0...

    Text Solution

    |

  10. let A ={{:({:(a(11),a(12)),(a(21),a(22)):}):a(ij){0,1,2} and a(11)=a(2...

    Text Solution

    |

  11. The matrix A^2 + 4 A-5I, where I is identity matrix and A = [[1,2],[4,...

    Text Solution

    |

  12. Let A be a 2xx2 matrix with non-zero entries and let A^2=""I , whe...

    Text Solution

    |

  13. If A is an 3xx3 non-singular matrix such that A A^T=A^TA and B=A^(-1)A...

    Text Solution

    |

  14. If B is a 3xx3 matrics such that B^2=0 then det[(1+B)^(50)-50B]=0

    Text Solution

    |

  15. Let a be a 3xx3 matric such that [(1,2,3),(0,2,3),(0,1,1)]=[(0,0,1),...

    Text Solution

    |

  16. If A=[(1,2,x),(3,-1,2)] and B=[(y),(x),(1)] be such that AB=[(6),(8)],...

    Text Solution

    |

  17. Let A and B be any two 3xx3 matrices . If A is symmetric and B is skew...

    Text Solution

    |

  18. If A=[1 2 2 2 1-2a2b] is a matrix satisfying the equation AA^T=""9I , ...

    Text Solution

    |

  19. If A is a 3xx3 such that |5.adj(A)|=5 then |A| is equal to

    Text Solution

    |

  20. If A = [(0,-1),(1,0)] then which one of the following statement is not...

    Text Solution

    |