Home
Class 12
MATHS
If A is a square matrix of order 2, then...

If A is a square matrix of order 2, then det (adj A) is equal to

A

1

B

det A

C

`(det A)^2`

D

None of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    PRADEEP PUBLICATION|Exercise EXERCISE|342 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|788 Videos

  • DIFFERENTIAL EQUATIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|507 Videos

Similar Questions

Explore conceptually related problems

Fill in the blanks : If A is a square matrix of order n then det (adj A) is equal to ……………… .

If A is a square matrix of order 2, then adj (adj A)

If A is any of square matrix of order n, then A (adj A) is equal to

If A is a square matrix of order n, then det |lambdaA | is equal to (lambda being a scalar)

If A is a non-singular matrix of ordern, then |adj A| is equal to

Select the Correct Option If A is an invertible matrix of order 2, then det(A^-1) is equal to

If A is an invertible square matrix of order 2, then |adj. A| is equal to :

True or False : If A is a square matrix of order 2, then |adj A | = |A |^2

True or False : If A is a square matrix of order 1xx1 then adj A = O

PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. If the determiant |{:(x+a,p+u,l+f),(y+b,q+v,m+g),(z+c,r+w,n+h):}| spli...

    Text Solution

    |

  2. True or False : Let A be a square matrix of order nge2 and B be the ...

    Text Solution

    |

  3. True or False : The determinant of an identity matrix is always 1.

    Text Solution

    |

  4. True or False : If A is a square matrix of order 1xx1 then adj A = O

    Text Solution

    |

  5. Determinant of the 1xx1 matrix [-3] is

    Text Solution

    |

  6. Determinant of the matrix A = [1,3,-5] is

    Text Solution

    |

  7. The value of det [(cos theta, sintheta),(-sintheta, costheta)] is equa...

    Text Solution

    |

  8. If A and B are invertible matrices of the same order, then (AB)^-1 is ...

    Text Solution

    |

  9. A square matrix A invertible iff det A is equal to

    Text Solution

    |

  10. If A is any of square matrix of order n, then A (adj A) is equal to

    Text Solution

    |

  11. Prove that |(1,x,x^2),(1,y,y^2),(1,z,z^2)| = (x-y)(y-z)(z-x)

    Text Solution

    |

  12. If A is a square matrix of order n, then det |lambdaA| is equal to (la...

    Text Solution

    |

  13. If A is square matrix such that A^2 = I, then A ^-1 is equal to

    Text Solution

    |

  14. If A is a square matrix of order 2, then det (adj A) is equal to

    Text Solution

    |

  15. If A is a square matrix of order 2, then adj (adj A)

    Text Solution

    |

  16. If A,B,C are three square matrices of the same order such that A= B +C...

    Text Solution

    |

  17. If A = diag (d1,d2,d3,….dn) then det A is equal to

    Text Solution

    |

  18. The area of a triangle with vertices (-3,0),(3,0) and (0,k) is 9 sq. u...

    Text Solution

    |

  19. The equations {:(x+y+2=0),(2x+2y=3):} have

    Text Solution

    |

  20. For what value of lambda, the following system of equations {:(x+y+z =...

    Text Solution

    |