Home
Class 12
MATHS
If A,B are square matrices of order 3 , ...

If A,B are square matrices of order 3 , then :

A

`(A+B)^-1=A^-1+B^-1`

B

`A B=0 implies|A|=0 or |B|=0`

C

`A B=0 implies|A|=0 and |B|=0`

D

(A . B)^-1=A^-1 . B^-1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

If A and B are square matrices of order 3, A is nonsingular and A . B=O, then B is

If A and B are square matrices of order 3 , such that |A| =-1 , |B | = 3 , then thee determinant of 3 AB equals :

A and B are square matrices of order 3xx3 , A is an orthogonal matrix and B is a skew symmetric matrix. Which of the following statement is not true

If A,B and C are square matrices of order n and det (A)=2, det(B)=3 and det (C)=5, then find the value of 10det (A^(3)B^(2)C^(-1)).

If A is a square matrix of order 3 xx 3 , then |KA| is equal to

If A is a square matrix of order 3xx3 , then |KA| is equal to

If A and B are square matrices of the same order, then

If A and B are two square matrices of same order then (A B)^(prime)=

If B ,C are square matrices of order na n difA=B+C ,B C=C B ,C^2=O , then without using mathematical induction, show that for any positive integer p ,A^(p-1)=B^p[B+(p+1)C] .

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. Let A and B be 3xx3 matrices such that A' = - A , B ' = B , then matri...

    Text Solution

    |

  2. If A and B are non singular square matrices of same order, then which ...

    Text Solution

    |

  3. If A,B are square matrices of order 3 , then :

    Text Solution

    |

  4. If A=[[a,b],[c,d]], then adj(adj A)=

    Text Solution

    |

  5. If A=[[4,-1],[-1,3]], then A . adj A=

    Text Solution

    |

  6. Let A be a square matrix with real entries, such that A^97=A^-1 . Then

    Text Solution

    |

  7. If ((1,-tan theta ),(tan theta,1))((1,tan theta ),(-tan theta ,1))^(-1...

    Text Solution

    |

  8. If A = [(2,3),(1,-2)] and A^(-1) = alpha A , then the value of alpha...

    Text Solution

    |

  9. For a square matrix A and a non singular matrix B of the same order ,...

    Text Solution

    |

  10. If A and B are two square matrices of the same order such that AB=B an...

    Text Solution

    |

  11. If A=[[x,1],[1,0]]and A^2=I, then A^-1 =

    Text Solution

    |

  12. If A= [[-2,2],[3,1]] then 8A^-1=

    Text Solution

    |

  13. The inverse of the matrix A= [[0,1,0],[1,0,0],[0,0,1]] is A

    Text Solution

    |

  14. If the matrix A=[[8,-6,2],[-6,7,-4],[2,-4,lambda]] is singular, then l...

    Text Solution

    |

  15. If A= [[3,-3,4],[2,-3,4],[0,-1,1]]then

    Text Solution

    |

  16. If A=[[3,-2],[1,2]] and A^2+k A+8 I=0, then k=

    Text Solution

    |

  17. If A=[[1,0],[-1,7]] and A^2-8 A+k I=0, then k=

    Text Solution

    |

  18. The sum of the eigen values of the matrix A=[[2,-1,3],[1,4,2],[3,1,1]]...

    Text Solution

    |

  19. The product of the eigen values of the matrix A= [[3,-1],[2,3]] is

    Text Solution

    |

  20. If 4,-3 are the eigen values of a 2xx 2 matrix A and |A|=6, then the e...

    Text Solution

    |