Home
Class 12
MATHS
If A and B are square matrics of the sam...

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

A

`A^2-2AB+B^2`

B

`A^2-AB-BA+B^2`

C

`A^2-2BA+B^2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`(A-B)^2=(A-B).(A-B)=A(A-B)-B(A-B)=(A^2-AB-BA+B^2)`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF LINEAR EQUATIONS

    RS AGGARWAL|Exercise EXERCISE 8A (VALUE BASED QUESTIONS)|4 Videos

  • STRAIGHT LINE IN SPACE

    RS AGGARWAL|Exercise Objective Questions|19 Videos

  • THE PLANE

    RS AGGARWAL|Exercise Objective Questions|35 Videos

Similar Questions

Explore conceptually related problems

If A and B are square matrices of the same order then (A+B)^2=A^2+2AB+B^2 implies (A) AB=0 (B) AB+BA=0 (C) AB=BA (D) none of these

If A and B are square matrices of the same order then (A+B)^2=A^2+2AB+B^2 implies (A) both AB and BA are defined (B) (AB)^t=B^tA^t (C) (AB)^-1=B^-1A^-1 if |A|!=0 (D) AB=BA

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

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

If A and B are two square matrices of the same order then (A-B)^2 is (A) A^2-AB-BA+B^2 (B) A^2-2AB+B^2 (C) A^2-2BA+B^2 (D) A^2-B^2

If A and B are square matrices of the same order, then (i) (AB)=......... (ii) (KA)=.......... (where, k is any scalar) (iii) [k(A-B)]=......

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

If A and B are square matrices of the same order such that A^(2)=A,B^(2)=B" and "(A+B)^(2)=A+B," then :"AB=

If A and B are square matrices of the same order such that (A+B)(A-B)=A^(2)-B^(2) then (ABA^(-1))^(2) is equal to

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

RS AGGARWAL-SYSTEM OF LINEAR EQUATIONS-Objective Questions
  1. If A and B are square matrics of the same order then (A+B)(A-B)=?

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. If A and B are symmetric matrices of the same order then (AB-BA) is al...

    Text Solution

    |

  5. Matrices A and B will be inverse of each other only if (A) A B" "="...

    Text Solution

    |

  6. If A; B are non singular square matrices of same order; then adj(AB) =...

    Text Solution

    |

  7. If A is a 3-rowed square matrix and |A|=4 then |adjA|=?

    Text Solution

    |

  8. If A is a 3-rowed square matrix and |A|=5 then |adjA|=?

    Text Solution

    |

  9. For any two matrices A and B , we have

    Text Solution

    |

  10. Find a matrix X such that X.[(3,2),(1,-1)]=[(4,1),(2,3)].

    Text Solution

    |

  11. If A is an invertible square matrix then |A^(-1)|=?

    Text Solution

    |

  12. If A; B are invertible matrices of the same order; then show that (AB)...

    Text Solution

    |

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

    Text Solution

    |

  14. If A is square matrix such that |A| ne 0 and A^2-A+2I=O " then " A^(-1...

    Text Solution

    |

  15. If A=[(1,lambda,2),(1,2,5),(2,1,1)] is not invertible then lambda=?

    Text Solution

    |

  16. If A=[(costheta,-sintheta),(sintheta,costheta)] " then " A^(-1) =?

    Text Solution

    |

  17. If A=[(ab,b^2),(-a^2,-ab)] then matrix A is (A) scalar (B) involuntary...

    Text Solution

    |

  18. If A=[[2,-2,-4],[-1,3,4],[1,-2,-3]] then A is 1) an idempotent matrix ...

    Text Solution

    |

  19. If A is singular then A(adjA)=?

    Text Solution

    |

  20. if for any 2*2 square matrix A , A(adjA)=[[8 , 0] , [0 , 8]] then writ...

    Text Solution

    |