Home
Class 12
MATHS
Let A be a 3x3 matrix such that |A|=-2, ...

Let `A` be a `3x3` matrix such that `|A|=-2,` then `det(-2A^(-1))=` `-4` (b) 4 (c) 8 (d) none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If for the matrix A ,\ A^3=I , then A^(-1)= A^2 (b) A^3 (c) A (d) none of these

"If B is a non -singular square matrix of order 3 such that |B|=1 then "det (B^-1) "is equal to (a) 1 (b) 0 (c)-1 (d) none of these"

Let A=[1 2 3-5] and B=[1 0 0 2] and X be a matrix such that A=B X , then X is equal to 1/2[2 4 3-5] (b) 1/2[-2 4 3 5] (c) [2 4 3-5] (d) none of these

If 3xx3 order matrix A is such that det(A)= 2 then |A(a d jA)| is (a) 8 (b) 9 (c) 6 (d) 3

If A is 3x3 matrix and det adj(A)=k then det(adj2A)=

If A is an invertible matrix then det(A^-1) is equal to (A) 1 (B) 1/|A| (C) |A| (D) none of these

Let A be a matrix of order 3xx3 such that |A|=3 . Let B=3A^(-1) and C =(adjA)/(2) , then the value of |A^(2)B^(3)C^(4)| is

The number of solutions of equation tan^(-1)2x+tan^(-1)3x=pi/4 is (a) 2 (b) 3 (c) 1 (d) none of these

RESONANCE DPP-JEE MAINS-All Questions
  1. Number of roots of equation 3^(|x|)-|2-|x||=1 is a. 0 b. 2 c. 4 d. 7

    Text Solution

    |

  2. Solve 2cos^2theta+sinthetalt=2, where pi/2lt=thetalt=(3pi)/2dot

    Text Solution

    |

  3. Let A be a 3x3 matrix such that |A|=-2, then det(-2A^(-1))= -4 (b) 4...

    Text Solution

    |

  4. The acute angle between two straight lines passing through the point M...

    Text Solution

    |

  5. Find the value of k for which of the following set of quadratic equ...

    Text Solution

    |

  6. The number of roots of the equation, x-2/(x-1)=1-2/(x-1) is 0 (b) 1 ...

    Text Solution

    |

  7. Given that tanalpha and tanbeta,x^2-p x+q=0 , then value of sin^2(al...

    Text Solution

    |

  8. If f(x)=(1-s in2x+cos2x)/(2cos2x) , then the value of f(16^0)dotf(29^0...

    Text Solution

    |

  9. If the roots of the equation x^2+2c x+a b=0 are real and unequal, the...

    Text Solution

    |

  10. If A=[0 1 2 1 2 3 3x1]a n dA^(-1)=[1/2-1/2 1/2-4 3y5/2-3/2 1/2] x=1,y...

    Text Solution

    |

  11. Number of solutions of the simultaneous equations |x| + |y|=3 and sin ...

    Text Solution

    |

  12. Minimum value of f(x)=2x^2-4x+5 is 1 (b) -1 (c) 11 (d) 3

    Text Solution

    |

  13. The value of k so that the equation 12 x^2-10 x y+2y^2+11 x-5y+k=0 rep...

    Text Solution

    |

  14. Total number of positive integers x for which f(x)=x^3-8x^2+20 x-13 is...

    Text Solution

    |

  15. If |x|+|x-5|=6 and x<0, then (x+3/2) is equal to

    Text Solution

    |

  16. If (x1, y1)&(x2, y2) are the ends of diameter of a circle such that x1...

    Text Solution

    |

  17. The value of x satisfying the equation (6x+2a+3b+c)/(6x+2a-3b-c)=(2x+6...

    Text Solution

    |

  18. Let x+y=1 and x^3+y^3=19 , then the value of x^2+y^2 is equal to 9 (b)...

    Text Solution

    |

  19. The expression (a^9 6 3)^4 (a^9 3 6)^4 is simplified to a^(16) (b) a^...

    Text Solution

    |

  20. The least natural number satisfying the inequation (x-1)/x-(x+1)/(x-1)...

    Text Solution

    |