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
Three planes cannot intersect at two distinct points.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MATRICES

    CENGAGE|Exercise Single correct Answer|34 Videos

  • MATRICES

    CENGAGE|Exercise Multiple Correct Answer|7 Videos

  • MATRICES

    CENGAGE|Exercise JEE Main Previous Year|11 Videos

  • MATHMETICAL REASONING

    CENGAGE|Exercise JEE Previous Year|10 Videos

  • METHODS OF DIFFERENTIATION

    CENGAGE|Exercise Multiple Correct Answer Type|7 Videos

Similar Questions

Explore conceptually related problems

The values of k in R for which the system of equations x+k y+3z=0,k x+2y+2z=0,2x+3y+4z=0 admits of nontrivial solution is 2 b. 5//2 c. 3 d. 5//4

Let A be the set of all 3xx3 symmetric matrices all of whose either 0 or 1. Five of these entries are 1 and four of them are 0. The number of matrices A in A for which the system of linear equations A[(x),(y),(z)]=[(1),(0),(0)] has a unique solution is

Knowledge Check

  • The number of all possible matrices of order 3xx3 with each entry 0 or 1 is :

    A
    27
    B
    18
    C
    81
    D
    512

    • Similar Questions

    Explore conceptually related problems

    Let A be the set of all 3xx3 skew-symmetri matrices whose entries are either -1,0,or1. If there are exactly three 0s three 1s, and there (-1)' s , then the number of such matrices is __________.

    Let A be the set of all 3 xx 3 symmetric matrices all of whose entries are either 0 or 1. Five of these entries are 1 and four of them are 0. The number of matrices in A is

    How many 3xx3 matrices M with entries from {0,1,2} are there, for which the sum of the diagonal entries of M^T Mi s5? 126 (b) 198 (c) 162 (d) 135

    The set of values of a for which a x^2+(a-2)x-2 is negative for exactly two integral x , is a. (0,2) b. [1,2) c. (1,2] d. (0,2]

    Find the number of all possible matrices of order 3xx3 with each entry 0 or 1. How many of these are symmetric ?

    Solve the system : 2x+3y-z=0, x+y+z=0, 2x+y+2z=0 .

    The number of values of k for which the equation x^3-3x+k=0 has two distinct roots lying in the interval (0,1) is three (b) two (c) infinitely many (d) zero

    Home
    Profile