Home
Class 12
MATHS
If A is a square matrix of order m, then...

If A is a square matrix of order m, then the matrix B of same order is called the inverse of the matrix A, if

A

AB = A

B

BA=A

C

AB = BA = I

D

AB = -BA

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 1: Concept Builder (Topic 3)|23 Videos

  • MATHEMATICAL REASONING

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    DISHA PUBLICATION|Exercise Exercise-2 Concept Applicator|20 Videos

Similar Questions

Explore conceptually related problems

If A is a square matrix of order n then |kA|=

If A is a square matrix of order 2, then det(-3A) is

If A is a square matrix of order 2, then det(-3A) is

If A is a square matrix of order 2 then det(-3A) is

If A is a non-singlular square matrix of order n, then the rank of A is

If A is a square matrix of order n, then |adj (lambdaA)| is equal to

If A is a skew-symmetric matrix of order 3 ,then the matrix A^(4) is

If A is a square matrix of order 3 and |A | = 3 then |adj A | is

If A is a square matrix of order n, prove that |A adj A|=|A|^(n)

DISHA PUBLICATION-MATRICES-Exercise 2: Concept Applicator
  1. If P=[[sqrt3/2,1/2] , [-1/2,sqrt3/2]] and A=[[1,1] , [0,1]] and Q=PAP^...

    Text Solution

    |

  2. If [(0,2b,c),(a,b,-c),(a,-b,c)] is orthogonal matrix, then the value ...

    Text Solution

    |

  3. If A is a square matrix of order m, then the matrix B of same order is...

    Text Solution

    |

  4. If A1, A2, , A(2n-1)a r en skew-symmetric matrices of same order, the...

    Text Solution

    |

  5. For k=1/sqrt(50), the value of a, b, c such that PP' = I, where P=[(2/...

    Text Solution

    |

  6. IfA^(k)= 0 (Ais nilpotent with index k), (I-A)^(p)=I+A+A^(2)+. . .+A^(...

    Text Solution

    |

  7. If A and B are two square matrices such that B=-A^(-1)BA, then (A+B)^(...

    Text Solution

    |

  8. If A=[(1,-1),(2,-1)] and B=[(1,a),(4,b)] and (A+B)^(2)=A^(2)+B^(2). ...

    Text Solution

    |

  9. If A is a square matrix such that A A^T=I=A^TA, then A is

    Text Solution

    |

  10. If Aa n dB are symmetric matrices of the same order and X=A B+B Aa n d...

    Text Solution

    |

  11. [{:(2x+y,4x),(5x-7,4x):}]=[{:(7,7y-13),(y,x+6):}] then the value of x,...

    Text Solution

    |

  12. Given that [(1,omega,omega^(2)),(omega,omega^(2),1),(omega^(2),1,omega...

    Text Solution

    |

  13. If {:A=[(alpha,0),(1,1)]andB=[(1,0),(5,1)]:}, then te value of alpha f...

    Text Solution

    |

  14. [[i,0,0],[0,i,0],[0,0,i]] then A^(4n+1) =.... n in N

    Text Solution

    |

  15. The matrix A=[0-5 8 5 0 12-8-12 0] is a (a) diagonal matrix (b) symmet...

    Text Solution

    |

  16. If A=[(alpha,0),(1,1)] and B=[(9,a),(b,c)] and A^(2)=B, then the value...

    Text Solution

    |

  17. Find the value of k so that A^2=8A+kI where A=[(1,0),(-1,7)].

    Text Solution

    |

  18. A square matrix P satisfies P^(2)=I-P where I is identity matrix. If P...

    Text Solution

    |

  19. If A(alpha)=[(cosalpha,-sinalpha),(sinalpha,cosalpha)], then

    Text Solution

    |

  20. If B is an idempotent matrix, and A=I-B, then

    Text Solution

    |