Home
Class 12
MATHS
The number of 3xx3 non - singular matr...

The number of `3xx3 ` non - singular matrices , with four entries as 1 and all other entries as 0 , is :

A

less than 4

B

5

C

6

D

at least 7

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MATRICES

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|13 Videos

  • MATRICES

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|13 Videos

  • MATHEMATICAL REASONING

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|9 Videos

  • MOCK TEST PAPER -I

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|60 Videos

Similar Questions

Explore conceptually related problems

Let omega!=1 be cube root of unity and S be the set of all non-singular matrices of the form [1a bomega1comega^2omega1],w h e r e each of a ,b ,a n dc is either omegaoromega^2dot Then the number of distinct matrices in the set S is a. 2 b. 6 c. 4 d. 8

Let G donate the set of all nxxn non-singular matrices with rational numbers as entries. Then under matrix multiplication.

Knowledge Check

  • If A is a 3xx3 non -singular matrix , then det . [ adj .A] is equal to :

    A
    `(det A)^(2)`
    B
    `(det A)^(3)`
    C
    `det A `
    D
    `(det A)^(-1)`

  • Let G denote the set of all n xx n non - singular matrices with rational numbers an entries. Then under matrix multiplication

    A
    G is a sub group
    B
    G is a finite Ablian group
    C
    G is an infinite, non - Abelian group
    D
    G is finite, Abelian

  • Let G denote the set of all n xx n non-singular matrices with rational numbers as entries. Then under multiplication

    A
    G is a subgroup
    B
    G is a finite abelian group
    C
    G is an infinite, non-abelian group
    D
    G is infinite, abelian

    • Similar Questions

    Explore conceptually related problems

    The number of 3xx3 matrices A whose entries are either 0 or 1 and for which the system : A [(x),(y),(z)] = [(1),(0),(0)] has exactly two distinct solutions , is :

    If A and P are 3xx3 matrices with integral entries such that P ' AP = A , then det . P is :

    If A is 3xx 3 non- singular matrix and if |A |=3 then |(2A)^(-1) |=

    The number of 2 xx 2 matrices having elements 0 and 1 is

    Total number of possible symmetric matrices of order 3xx 3 , whose entries 0 or 2 .

    Home
    Profile