Home
Class 10
MATHS
If A = ({:(7, 2),(-3, 9):}), B = ({:(p,...

If `A = ({:(7, 2),(-3, 9):}), B = ({:(p, 2), (-3, 5):})` and AB = BA, then find p.

A

-2

B

1

C

3

D

p does not have a unique value

Text Solution

Verified by Experts

The correct Answer is:
C
Apply matrix multiplication concept.
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    PEARSON IIT JEE FOUNDATION|Exercise EXERCISE CONCEPT APPLICATION (LEVEL 2)|19 Videos

  • MATRICES

    PEARSON IIT JEE FOUNDATION|Exercise EXERCISE CONCEPT APPLICATION (LEVEL 3)|15 Videos

  • MATRICES

    PEARSON IIT JEE FOUNDATION|Exercise ESSAY TYPE QUESTIONS|5 Videos

  • MATHEMATICAL INDUCTION AND BIONOMIAL THEOREM

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 3|15 Videos

  • MENSURATION

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|21 Videos

Similar Questions

Explore conceptually related problems

Given A = ({:(3, P),(2, 5):}) " and B" = ({:(1, 0), (5, 6):}). If AB= BA, then find p.

If A = [{:(5, 6), (9, 9):}], B= [{:(1, 3), (p, 3):}] and AB = BA, then p=_____.

If P=(1,2,3,4,5,6,7) and Q=(2,5,8,9) , then find P-Q.

If A = [(3,1),(5,2)] , and AB = BA = I, then find the matrix B.

If P=(1,2,3,4,5,6,7) and Q=(2,5,8,9) , then find P cup Q .

if A=[{:(1,2,3),(4,5,6):}]and B=[{:(-3,-2),(0,1),(-4,-5):}], then find AB and BA ,

Let A=[{:(1,-2,3),(-4,2,5):}]" and "B=[{:(2,3),(4,5),(-2,1):}]. Find AB and BA, and show that ABneBA.

If A=[{:(2,-1,3),(-4," "5,1):}]" and "B=[{:(2,3),(4,-2),(1,5):}] then find AB and BA. Show that ABneBA.

PEARSON IIT JEE FOUNDATION-MATRICES-EXERCISE CONCEPT APPLICATION (LEVEL 1)
  1. If A = [{:(8, 7),(-9, -8):}], " then "A^(-1)=.

    Text Solution

    |

  2. Given A = [{:(4, -2),(2a-1, 5a-3):}] and if A does not have multiplica...

    Text Solution

    |

  3. If A = ({:(7, 2),(-3, 9):}), B = ({:(p, 2), (-3, 5):}) and AB = BA, t...

    Text Solution

    |

  4. Given A= ({:(5, -3), (-2, 1):}), " then "A^(-1) =.

    Text Solution

    |

  5. If |{:(7a-5b, 3c),(-1, 2):}| = 0, then which of the following in true?

    Text Solution

    |

  6. If a square matrxi A is skew-symmetric, then which of the following is...

    Text Solution

    |

  7. If |A| = 47, then find |A^(T)|.

    Text Solution

    |

  8. There are 25 software engineers and 10 testers in Infosys and 15 softw...

    Text Solution

    |

  9. If det (A) = 5, then find det (15A) where A is of order 2 xx 2

    Text Solution

    |

  10. If A = [{:("cosce"alpha, "tan"alpha), ("cot" alpha, "-sin"alpha):}], ...

    Text Solution

    |

  11. Which of the following statements is true?

    Text Solution

    |

  12. What is the condition that is to be satisfied for the identify (P +Q) ...

    Text Solution

    |

  13. Solve the simultaneous equations: 2x-3y = 11 and 5x + 4y =16

    Text Solution

    |

  14. If is a 2 xx 2 identity matrix, then | (3I)^(30)|^(-1) =.

    Text Solution

    |

  15. If A is 2 xx 2 square matrix, such that det A = 9, then det (9A) =.

    Text Solution

    |

  16. Which of the following statement (s) is true?

    Text Solution

    |

  17. If A and B are two square matices such that AB= A and BA = B, then fin...

    Text Solution

    |

  18. If A = [{:(3, 4), (-1, 2):}] " and B"= [{:(2, -3), (4, -5):}] , then f...

    Text Solution

    |

  19. If the trace of the matrix A is 4 and the trace of matrix B is 7, the...

    Text Solution

    |

  20. If the trace of the matrix A is 5, and the trace of the matrix B is 7,...

    Text Solution

    |