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:
D
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( LEVEL 2 ( Straight Objective Type Questions ) )|11 Videos

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( LEVEL 2 (Numercial Answer Type Questions))|18 Videos

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B -Architecture Entrance Examination Papers|22 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-SOLVED EXAMPLES ( LEVEL 1 ( Single Correct Answer Type Questions ) )
  1. If A=[(a,b),(b,a0] and A^2=[(alpha, beta0,(beta, alpha)] then (A) alph...

    Text Solution

    |

  2. Let omega!=1 be cube root of unity and S be the set of all non-singula...

    Text Solution

    |

  3. If a matrix A is both symmetric and skew-symmetric, then A is a dia...

    Text Solution

    |

  4. Let A = [(2,-1),(3,4)], B = [(5,2),(7,4)] , C = [(2,5),(3,8)] . Let ...

    Text Solution

    |

  5. If A^2 = A, then (I + A)^(4) is equal to

    Text Solution

    |

  6. The matrix A = [(0,0,-7),(0,-7,0),(-7,0,0)] is a

    Text Solution

    |

  7. If A=[3 5],B=[7 3], then find a non-zero matrix C such that AC=BC.

    Text Solution

    |

  8. Find the values of x, y, z if the matrix A=[0 2y z x y-z x-y z] sat...

    Text Solution

    |

  9. Suppose A is square matrix such that A^(3) =I then (A+I)^(3) +(A-I)^...

    Text Solution

    |

  10. The number of 3xx3 matrices A whose entries are either 0 or 1 and for ...

    Text Solution

    |

  11. The number of 3 3 non-singular matrices, with four entries as 1 and ...

    Text Solution

    |

  12. Consider the system of linear equations: x(1) + 2x(2) + x(3) = 3 2...

    Text Solution

    |

  13. Let a,b, and c be three real numbers satistying [a,b,c][(1,9,7),(8,2,7...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. If P is a 3xx3 matrix such that P^T = 2P+I, where P^T is the transpose...

    Text Solution

    |

  17. A=[[4, 3],[ 2 ,5]] find x and y such thatA^2-xA+yI=0

    Text Solution

    |

  18. The system of equations ((3,-2,1),(5,-8,9),(2,1,a)) ((x),(y),(z))=((...

    Text Solution

    |

  19. Suppose l+A is non-singular. Let B=(I+A)^(-1) and C=I-A , then ....(wh...

    Text Solution

    |

  20. Let A = ((a,b),(c,d)) be such that A^(3)=O but Ane O then

    Text Solution

    |