Home
Class 12
MATHS
For a invertible matrix A if A(adjA)=[(1...

For a invertible matrix A if `A(adjA)=[(10,0),(0,10)]`, then |A|=

A

`100`

B

`-100`

C

`-100`

D

`10`

Text Solution

Verified by Experts

The correct Answer is:
C
Given ,
`A (adj A) = |{:(10,0),(0,10):}| = 10 |{:(1,0),(0,1):}| = 10l`
We know that, `A` (adj A) = `|A| l`
On comparing both sides , we get
`|A| = 10`
Promotional Banner

Topper's Solved these Questions

  • MHTCET 2016

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Mathematics|50 Videos

  • MHTCET 2018

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Mathematics|50 Videos

Similar Questions

Explore conceptually related problems

For a invertible matrix A if A (adj A) =[(10,0),(0,10)] then |A|=

For any 2xx2 matrix, if A\ (a d j\ A)=[10 0 0 10] , then |A| is equal to (a) 20 (b) 100 (c) 10 (d) 0

If A is a square matrix such that A(adjA)=[(4,0,0),(0,4,0),(0,0,4)], then =(|adj(adjA)|)/(2|adjA|) is equal to

For any 3xx3 matrix A if A(AdjA)=[[7,0,00,7,00,0,7]], then the value of

If matrix A=[(0,-1),(1,0)] , then A^16 =

If A is a square matrix of order 2 such that A(adjA) =[{:(7,0),(0,7):}] then |A|=………………

If A is a non-singular matrix of order 3, (adjA)+A^(-1)=0, then |A|=

If A={:[(a,0,0),(0,a,0),(0,0,a)],:}" then: "|A|*|adj.A|=

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MHTCET 2017-MATHMATICS
  1. O(0,0), A(1,2), B(3,4) are the vertices of DeltaOAB. The joint equatio...

    Text Solution

    |

  2. If the function f(x) = [tan(pi/4 + x)]^(1/x) for x ne 0 is = K for x ...

    Text Solution

    |

  3. For a invertible matrix A if A(adjA)=[(10,0),(0,10)], then |A|=

    Text Solution

    |

  4. The solution of the differential equation (dy)/(dx)="tan"((y)/(x))+(y)...

    Text Solution

    |

  5. In DeltaABC, if sin^(2)A+sin^(2)B=sin^(2)C and l(AB)=10, then the maxi...

    Text Solution

    |

  6. If x=f(t) and y=g(t) , then write the value of (d^2y)/(dx^2) .

    Text Solution

    |

  7. The equation of line equally inclined to coordinate axes and passing t...

    Text Solution

    |

  8. int0 ^ (pi/2) log(cosx) dx=

    Text Solution

    |

  9. A boy tosses faiir coin 3 times. If he gets Rs 2X for X heads, then hi...

    Text Solution

    |

  10. Which of the following statement pattern is a tautology?

    Text Solution

    |

  11. If the angle between the planes r.(mhati-hatj+2hatk)+3=0 and r*(2hati-...

    Text Solution

    |

  12. If the origin and the points P(2,3,4), Q(1,2,3) and R(x,y,z) are copla...

    Text Solution

    |

  13. if lines represented by equation px^(2)-qy^(2)=0 are distinct, then

    Text Solution

    |

  14. Let square PQRS be a quadrilateral. If M and N are the mid-points of t...

    Text Solution

    |

  15. If slopes of lines represented by kx^(2)+5xy+y^(2)=0 differ by 1, then...

    Text Solution

    |

  16. If vector r wiith dc's l,m,n is equally inclined to the coordinate axe...

    Text Solution

    |

  17. If int(1)/((x^(2)+4)(x^(2)+9))dx=A" tan"^(-1)(x)/(2)+Btan^(-1)((x)/(3)...

    Text Solution

    |

  18. If alpha and beta are roots of the equation x^(2)+5|x|-6=0, then the v...

    Text Solution

    |

  19. If x=a(t-(1)/(t)),y=a(t+(1)/(t)), where t be the parameter, then (dy)/...

    Text Solution

    |

  20. The point on the curve y=sqrt(x-1), where the tangent is perpendicular...

    Text Solution

    |