Home
Class 10
MATHS
If A is 2 xx 2 square matrix, such that ...

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

A

`(1)/(3^(30))`

B

9

C

81

D

729

Text Solution

Verified by Experts

The correct Answer is:
D
If A is an `n xx n` matrix, then `|kA| = k^(n)|A|.`
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

if A is a square matrix such that A^(2)=A, then det (A) is equal to

If A is a 3xx3 matrix such that det.A=0, then

If A is 3xx3 non-singular matrix such that A^(-1)+(adj.A)=0," then det "(A)=

If A is a square matrix of order 3 such that det(A)=(1)/(sqrt(3)) then det(Adj(-2A^(-2))) is equal to

If A is semy square matrix of order 3 and det A = 5, then what is det [(2A)^(-1)] equal to ?

If A is a square matrix of order 3 and det A = 5, then what is det [(2A)^(-1)] equal to ?

If A is a square matrix such that A(AdjA)=det[[4,0,00,4,00,0,4]] then det (AdjA)=

If A is a square matrix of order 2 then det(-3A) is

PEARSON IIT JEE FOUNDATION-MATRICES-EXERCISE CONCEPT APPLICATION (LEVEL 1)
  1. If |A| = 47, then find |A^(T)|.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Which of the following statements is true?

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. If A = [{:(3, 0), (0, 3):}], then find A^(n), (where n in N)

    Text Solution

    |

  16. If A is a 2 xx 2 scalar matrix and 7 is the one of the elements in its...

    Text Solution

    |

  17. A(1), A(2), A(3), ……, A(n) " and " B(1), B(2), B(3), …., B(n) are non-...

    Text Solution

    |

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

    Text Solution

    |

  19. The inverse of a scalar matrix A of order 2 xx 2, where one of the pri...

    Text Solution

    |

  20. If A = [{:(3, -2),(6, 4):}], " then AA"^(-1) =.

    Text Solution

    |