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.
Promotional Banner

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

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

CENGAGE-MATRICES-JEE Advanced Previous Year
  1. The number of 3xx3 matrices A whose entries are either 0or1 and for wh...

    Text Solution

    |

  2. Let omega!=1 be cube root of unity and S be the set of all non-singula...

    Text Solution

    |

  3. Let P=[a("ij")] be a 3xx3 matrix and let Q=[b("ij")], where b("ij")=2^...

    Text Solution

    |

  4. Let P=[[1,0,0],[4,1,0],[16,4,1]]and I be the identity matrix of order ...

    Text Solution

    |

  5. How many 3xx3 matrices M with entries from {0,1,2} are there, for whic...

    Text Solution

    |

  6. Let Ma n dN be two 3xx3 non singular skew-symmetric matrices such that...

    Text Solution

    |

  7. Let omega be a complex cube root of unity with omega!=1a n dP=[p(i j)]...

    Text Solution

    |

  8. For 3xx3 matrices Ma n dN , which of the following statement (s) is (a...

    Text Solution

    |

  9. Let M be a 2xx2 symmetric matrix with integer entries. Then M is inver...

    Text Solution

    |

  10. Let m and N be two 3x3 matrices such that MN=NM. Further if M!=N^2 and...

    Text Solution

    |

  11. Let Xa n dY be two arbitrary, 3xx3 , non-zero, skew-symmetric matrices...

    Text Solution

    |

  12. Let p=[(3,-1,-2),(2,0,alpha),(3,-5,0)], where alpha in RR. Suppose Q=[...

    Text Solution

    |

  13. Which of the following is (are) NOT the square of a 3xx3 matrix with r...

    Text Solution

    |

  14. Let S be the set of all column matrices [(b(1)),(b(2)),(b(3))] such th...

    Text Solution

    |

  15. Let A be the set of all 3 xx 3 symmetric matrices all of whose entrie...

    Text Solution

    |

  16. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

    Text Solution

    |

  17. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

    Text Solution

    |

  18. Let P be an odd prime number and T(p) be the following set of 2xx2 mat...

    Text Solution

    |

  19. Let P be an odd prime number and T(p) be the following set of 2xx2 mat...

    Text Solution

    |

  20. Let p be an odd prime number and Tp, be the following set of 2 xx 2 ma...

    Text Solution

    |