Home
Class 12
MATHS
If A,B,C are three square matrices of t...

If `A,B,C` are three square matrices of the same order, then `A B=A C => B=Cdot` Then `|A|!=0` b. `A` is invertible c. `A` may be orthogonal d. is symmetric

Promotional Banner

Topper's Solved these Questions

  • MATHMETICAL REASONING

    CENGAGE PUBLICATION|Exercise Archives|10 Videos

  • METHODS OF DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer Type|7 Videos

Similar Questions

Explore conceptually related problems

If A and B are square matrices of the same order, then AB = 0 implies

If A and B are two square matrices of the same order, then (A-B)^(2) is equal to -

If A, B are symmetric matrices of same order, then AB-BA is a

If A and B are square matrices of the same order such that AB = A and BA = B, then……

If A and B are two invertible matrices of the same order, then adj (AB) is equal to

If A and B are square matrices of the same order such that A^(2)=A,B^(2)=B,AB=BA=0 , then__

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

If A and B are two invertible matrices of the same order, then adj (AB) is equal to -

If A and B are square matrices of same order such that AB=O and B ne O , then prove that |A|=0 .

If A and B are square matrices of the same order such that A B = B A , then prove by induction that A B^n=B^n A .

CENGAGE PUBLICATION-MATRICES-All Questions
  1. If A=(a(i j))(nxxn) and f is a function, we define f(A)=((f(a(i j))))(...

    Text Solution

    |

  2. Suppose a1, a2, are real numbers, with a1!=0. If a1, a2,a3, are in A...

    Text Solution

    |

  3. If A,B,C are three square matrices of the same order, then A B=A C =>...

    Text Solution

    |

  4. Let A=[1 0 1 1] . Then which of following is not true? (lim)(nvecoo)1/...

    Text Solution

    |

  5. If alpha,beta,gamma are real numbers, then without expanding at any...

    Text Solution

    |

  6. The matrix A=[(-5,-8,0),(3,5,0),(1,2,-1)] is (A) idempotent mat...

    Text Solution

    |

  7. If P (E) = 0.05, what is the probability of ‘not E’?

    Text Solution

    |

  8. If A=[[a,b],[c,d]] (where b c!=0 ) satisfies the equations x^2+k=0,t h...

    Text Solution

    |

  9. If A ,B ,A+I ,A+B are idempotent matrices, then A B is equal to a.B A ...

    Text Solution

    |

  10. Given the matrix A=[[x,3,2],[1,y,4],[2,2,z]]. If xyz=60 and 8x+4y+3z=2...

    Text Solution

    |

  11. Let A +2B=[[1, 2, 0],[ 6,-3, 3],[-5, 3, 1] ] and 2A-B=[[2,-1, 5 ],[2,-...

    Text Solution

    |

  12. Which of the following in an orthogonal matrix

    Text Solution

    |

  13. If k in Ro then det{adj(k In)} is equal to (A) K^(n-1) (B) K^((n-1)...

    Text Solution

    |

  14. If A1, A2, , A(2n-1) are n skew-symmetric matrices of same order, th...

    Text Solution

    |

  15. Let A=[[1 ,2 ,3],[ 2, 0, 5],[ 0 ,2 ,1]] and B=[[0],[-3],[1]] . Which ...

    Text Solution

    |

  16. Column I, Column II If |A|=2,t h e n|2A^(-1)=(w h e r eA is of orde...

    Text Solution

    |

  17. A=[[0 ,1],[ 3 ,0]]a n d(A^8+A^6+A^4+A^2+I) V=[[0] ,[11]](w h e r e I i...

    Text Solution

    |

  18. Show that every square matrix A can be uniquely expressed as P+i Q ,wh...

    Text Solution

    |

  19. Express A as the sum of a Hermitian and a skew-Hermitian matrix, where...

    Text Solution

    |

  20. If A=([a(i j)])(nxxn) is such that ( a )(i j)=bar (a(j i)),AAi ,j and...

    Text Solution

    |