Home
Class 12
MATHS
In a set A=(3^3,7^3,11^3,15^3,……) if 9 e...

In a set `A=(3^3,7^3,11^3,15^3,……)` if 9 elements are selected from set A and a matrix B order `3 xx3` is made then , Det (B) must be divisible by

A

2

B

4

C

8

D

16

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DETERMINANT

    FIITJEE|Exercise COMPREHENSIONS -I|3 Videos
  • DETERMINANT

    FIITJEE|Exercise COMPREHENSIONS -II|3 Videos
  • DETERMINANT

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I|53 Videos
  • DEFINITE INTEGRAL

    FIITJEE|Exercise NUMERICAL BASED|3 Videos
  • ELLIPSE

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

Similar Questions

Explore conceptually related problems

If A is a matrix of order 3xx3 , then |3A| is equal to………

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

Knowledge Check

  • In a set a = ( 3^(3), 7^(3) , 11 ^(3) ,15^(3) …) if 9 elements are selected from set A and a matrix B of order 3xx3 is made ,then det(B) must be divisible by

    A
    2
    B
    4
    C
    8
    D
    16
  • Similar Questions

    Explore conceptually related problems

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

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

    If one of the eigenvalues of a square matrix a order 3xx3 is zero, then prove that det A=0 .

    If A is a matrix of order 3xx4 and B is a matrix of order 4xx3, find the order of the matrix of AB.

    If 'A' is a square matrix of order 3 xx 3 and det(A) =(1)/(2) , then det (Adj A^(-1) ) is

    Suppose A and B are two 3xx3 matrices then det [(A-A) + (B-B)] = _______

    If A is a matrix of order of 3 times 3 and |A|=3 then |Adj(A)| is (a) 81, (b) 9, (c) 27