Home
Class 12
MATHS
The number of 3xx3 matrices A whose entr...

The number of `3xx3` matrices `A` whose entries are either `0or1` and for which the system `A[x y z]=[1 0 0]` has exactly two distinct solution is a. 0 b. `2^9-1` c. `168` d. `2`

A

0

B

`2^(9)-1`

C

168

D

2

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • MATRICES

    ML KHANNA|Exercise COMPREHENSION|3 Videos

  • MATRICES

    ML KHANNA|Exercise PROBLEM SET(1) (FILL IN THE BLANKS)|19 Videos

  • MATHEMATICAL REASONING

    ML KHANNA|Exercise PROBLEM SET (2) ASSERTION/REASON|3 Videos

  • MAXIMA AND MINIMA

    ML KHANNA|Exercise MISCELANEOUS EXERCISE (COMPREHENSION)|3 Videos

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[[xyz]]=[[00]] has exactly two distinct solution is a.0 b.2^(9)-1 c.168 d.2

The number of 2 x 2 matrices A such that all entries are either 1 or 0 is

Knowledge Check

  • The number of 3 xx 3 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

    A
    Zero
    B
    One
    C
    Two
    D
    None of these

  • The number of 3xx3 matrices A whose entries are either 0 or 1 and for which the system of equations A [(x),(y),(z)]=[(2),(0),(3)] has exactly five distinct solution is

    A
    0
    B
    511
    C
    1024
    D
    5

  • The number of 3xx3 non singular matrices with four entries as 1 and all other entries as 0 is

    A
    `lt4`
    B
    `5`
    C
    6
    D
    at least 7

    • Similar Questions

    Explore conceptually related problems

    " The number of "3times3" skew symmetric matrices A whose entries are chosen from "(-1,0,1)" and for which the system "A[[x],[y],[z]]=[[0],[0],[0]]" has infinite solution is "

    The number of 3xx3 matrices with entries from the set {-1,0,1} such that the matrices symmetric nor skew symmetric is

    Let A be the set of all 3xx3 matrices of whose entries are either 0 or 1. The number of elements is set A, is

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

    Let A be the set of all 3xx3 symetric matrices whose entries are either 0 or 1. The number of elements is set A, is

    Home
    Profile