Home
Class 12
MATHS
If A = [{:( -1, 2, -3),( -2,0, 3),( 3, -...

If `A = [{:( -1, 2, -3),( -2,0, 3),( 3, -3, 1):}]` be a matrix such that `|A| adj (A ^(-1)) = KA,` then find the value of K.

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 110

    NTA MOCK TESTS|Exercise MATHEMATICS |28 Videos
  • NTA TPC JEE MAIN TEST 112

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos

Similar Questions

Explore conceptually related problems

Let A=[(-1, 2, -3),(-2,0,3),(3,-3, 1)] be a matrix, then |a| adj(A^(-1)) is equal to

Let A=[(-1,2,-3),(-2,0,3),(3,-3,1)] be a matrix, then |A|adj(A^(-1)) is equal to

Let A be a matrix such that adj (adj A)= [(5,2,1),(3,1,0),(2,2,1)] then the value of

If A=[{:(1, 1, 1),(1, 2, "-3"),(2,"-1",3):}] , then adj A is

If A =[{:(3,,-3,,4),(2,,-3,,4),(0,,-1,,1):}] , then adj (adj A) is

If A is a square matrix of order 3 such that |A|=3, then find the value of |adj(adjA)|

Let A=[(x,2,-3),(-1,3,-2),(2,-1,1)] be a matrix and |adj(adjA)|=(12)^(4) , then the sum of all the values of x is equal to

Let A be a square matrix of order 3 such that det. (A)=1/3 , then the value of det. ("adj. "A^(-1)) is

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 111-MATHEMATICS
  1. The value of the limit {{:((1 - cos ""(1)/(n))), (sqrt (( 1- cos "" ...

    Text Solution

    |

  2. Let f (x) is continuous on [a,c] and differentiable in (a,c) where a,b...

    Text Solution

    |

  3. If the function f (x) = Pe ^(2x) + Qe^(x) + Rx satisfies the conditi...

    Text Solution

    |

  4. If a circle passes through the points (0, 0) (a, 0) and (0, b), then i...

    Text Solution

    |

  5. If 3 sin theta - 4 cos theta = 5 and 4 sin theta + 3 cos theta = k. t...

    Text Solution

    |

  6. Let theta in ( 0, (pi)/(2)) is solution of equation 3 sin x + 4 cos x...

    Text Solution

    |

  7. cos ^(-1) { cos (2 cot ^(-1) ( sqrt2 - 1 )) } is equal to

    Text Solution

    |

  8. Let L(1) be a straight line passing through the origin and L(2) be t...

    Text Solution

    |

  9. The roots alpha and beta of the quadratic equation px ^(2) + qx + r =0...

    Text Solution

    |

  10. The sum S (n) = n ^(3) + 3n ^(2) + 5n + 3 is divisible by

    Text Solution

    |

  11. If 1 + (1)/( 3 ^(2)) + (1. 4)/( 1. 2) . (1)/( 3 ^(4)) + (1.4.7)/( 1.2....

    Text Solution

    |

  12. Words are formed from the letters of the word BHARAT. If p and qrepres...

    Text Solution

    |

  13. If A = [{:( -1, 2, -3),( -2,0, 3),( 3, -3, 1):}] be a matrix such that...

    Text Solution

    |

  14. 0 lt A, B, C lt pi, find the minimum value of II (( sin ^(2) A + sin A...

    Text Solution

    |

  15. For certain curve y = f (x) satisfying (d ^(2) y )/( dx ^(2)) = 6x - 4...

    Text Solution

    |

  16. If omega is a complex cube root of unity, then evaluate | omega + ome...

    Text Solution

    |

  17. If int sin ^(2) x cos ^(4) xdx = ( p )/(32) [ (sin 6x )/( m ) = (sin 4...

    Text Solution

    |

  18. A curve Cis given by (f (y)) ^((2)/(3)) + (f (x)) ^((1)/(3)) = 0, sa...

    Text Solution

    |

  19. For a series, the value of mean deviation is 21. Find the value of its...

    Text Solution

    |

  20. Consider the differential equation (( 2 + sin x )/( y +1 )) (dy)/(dx...

    Text Solution

    |