Home
Class 12
MATHS
If A and B are two nonzero square matric...

If A and B are two nonzero square matrices of the same order such that the product `AB=O`, then

A

Both A and B are non - singular

B

Exactly one of A ,B is singular

C

Both A and B are singular

D

Both A +B and AB are singular

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( LEVEL 2 ( Straight Objective Type Questions ) )|11 Videos

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( LEVEL 2 (Numercial Answer Type Questions))|18 Videos

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B -Architecture Entrance Examination Papers|22 Videos

  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTRE ENTRANCE EXAMINATION PAPERS|9 Videos

Similar Questions

Explore conceptually related problems

If AandB are two nonzero square matrices of the same ordr such that the product AB=O , then (a) both A and B must be singular (b) exactly one of them must be singular (c) both of them are non singular (d) none of these

If A and B are any two square matrices of the same order than ,

If A and Bare two non-zero square matrices of the same order, such that AB=0, then (a) at least one of A and B is singular (b) both A and B are singular (c) both A and B are non-singular (a) none of these

If A and B are two square matrices of the same order, then A+B=B+A.

If A and B are square matrics of the same order then (A+B)^2=?

If A and B are square matrics of the same order then (A-B)^2=?

If A and B are non-zero square matrices of same order such that AB=A and BA=B then prove that A^(2)=A and B^(2)=B

If A and B are square matrices of the same order such that B=-A^(-1)BA, then (A+B)^(2)

If A and B are square matrics of the same order then (A+B)(A-B)=?

If A and B are two square marices of the same order such that AB=BA , then (AB)^(n) is equal to where n epsilonN

MCGROW HILL PUBLICATION-MATRICES-SOLVED EXAMPLES ( LEVEL 1 ( Single Correct Answer Type Questions ) )
  1. If A and B are symmetric matrices then A B-B A is a Symmetric Matrix ...

    Text Solution

    |

  2. Let A and B be two 3xx3 matrices such that A+B = 2 B' and 3A + 2B= I ...

    Text Solution

    |

  3. If A and B are two nonzero square matrices of the same order such that...

    Text Solution

    |

  4. If A is skew-symmetric and B=(I-A)^(-1)(I+A), then B is

    Text Solution

    |

  5. Let a(n)=3^(n)+5^(n), nin N and let A=((a(n),a(n+1),a(n+2)),(a(n+1)...

    Text Solution

    |

  6. First row of a matrix A is [1,3,2]. If adj A=[(-2,4,alpha),(-1,2,1),...

    Text Solution

    |

  7. Suppose ABC is a triangle with sides a,b ,c and semiperimeter s. Then ...

    Text Solution

    |

  8. The number of matrices A = [(a,b),(c,d)] ( where a,b,c,din R ) such...

    Text Solution

    |

  9. Let A be a 3xx3 matrix with entries from the set of numbers, If the sy...

    Text Solution

    |

  10. A=[{:(a,b),(b,-a):}] and MA=A^(2m), m in N for some matrix M, then whi...

    Text Solution

    |

  11. Let A=[(a,b),(c,d)]be a 2 xx 2 matrix, where a, b, c, d take value 0 t...

    Text Solution

    |

  12. Find the inverse of each of the matrices given below : Let D= "dia...

    Text Solution

    |

  13. The inverse of a symmetric matrix ( if it exists ) is

    Text Solution

    |

  14. Prove that inverse of a skew-symmetric matrix (if it exists) is skew-s...

    Text Solution

    |

  15. The inverse of a skew symmetric matrix of odd order is a symmetric mat...

    Text Solution

    |

  16. If A is an orthogonal matrix, then

    Text Solution

    |

  17. If A = [(1,0,2),(5,1,x),(1,1,1)] is a singular matrix then x is equal ...

    Text Solution

    |

  18. Find the value of x for which the matrix A=[(2//x,-1,2),(1,x,2x^(2)),(...

    Text Solution

    |

  19. If a matrix A is such that 3A^3 +2A^2+5A+I= 0, then A^(-1) is equal to

    Text Solution

    |

  20. If A=[(1,0),(1,1)] and I=[(1,0),(0,1)] then which one of the following...

    Text Solution

    |