Home
Class 12
MATHS
If A and B are matrices of order 3 such ...

If A and B are matrices of order 3 such
that `abs[A]=-1`,`abs[B]=3`,then `abs[3AB]` is

A

-9

B

-27

C

-81

D

9

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY & DIFFERENTIABILITY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|178 Videos

  • DIFFERENTIAL EQUATION

    MAXIMUM PUBLICATION|Exercise EXAMPLE|81 Videos

Similar Questions

Explore conceptually related problems

Given A and B are square matrices of order 2 such that absA=-1 , absB=3 . Find abs(3AB) .

If A and B are square matrices of the same order such that A B=B A ,then prove by induction that AB^n=B^n A . Further, prove that (AB)^n = A^n B^n for all n in N .

If A and B are square matrices of the same order such that A^(2)= A, B^(2) = B, AB = BA = O , then a) (A - B)^(2) = B - A b) (A- B)^(2) = A - B c) (A + B)^(2) = A + B d)None of these

If A and B are square matrices of the order and if A=A^(T),B=B^(T) , then (ABA)^(T) is equal to a) BAB b) ABA c)ABAB d) AB^(T)

Suppose A is a matrix of order 3 and B=abs(A)A^(-1)." If "abs(A)=-5 , then abs(B) is equal to : a)1 b)-5 c)-1 d)25

If A and B are square matrices of order n, then A - lambda I and B - lambda I commute for every scalar lambda only if a)AB = BA b) AB + BA = 0 c)A = - B d)None of these

If A and B are symmetric matrices of the same order the X = AB + BA and Y = AB-BA, then XY^(T) is equal to a)XY b)YX c) -YX d)None of these

Let A and B are two square matrices such that AB = A and BA = B , then A ^(2) equals to : a)B b)A c)I d)O

Let A and B be two symmetric matrices of same order. Then show that AB-BA is a skew-symmetric matrix.

MAXIMUM PUBLICATION-DETERMINANTS-EXAMPLE
  1. Consider the system of equations 2x-3y=7 and 3x+4y=5 Find adjA

    Text Solution

    |

  2. Consider the system of equations 2x-3y=7 and 3x+4y=5 Solve the sys...

    Text Solution

    |

  3. If A and B are matrices of order 3 such that abs[A]=-1,abs[B]=3,then...

    Text Solution

    |

  4. If A=[[1,tanx],[-tanx,1]],Show that A^TA^(-1)=[[cos2x,-sin2x],[sin2x...

    Text Solution

    |

  5. Consider the determinant Delta=abs[[x,x^2,1+x^3],[y,y^2,1+y^3],[z,z^2,...

    Text Solution

    |

  6. Consider the determinant Delta=abs[[x,x^2,1+x^3],[y,y^2,1+y^3],[z,z^2,...

    Text Solution

    |

  7. The value of the determinant abs[[sin10,-cos10],[sin80,cos80]]is

    Text Solution

    |

  8. Using properties of determinants, show that abs[[a,a^2,b+c],[b,b^2...

    Text Solution

    |

  9. Choose the correct answer from the bracket.Consider a sqare matrix o...

    Text Solution

    |

  10. Verify A(adjA)=(adjA)A=abs[A]I for the matrix A=[[5,-2],[3,-2]]that,...

    Text Solution

    |

  11. Consider the following system of equations x+2y=4,2x+5y=9 If A=[[1...

    Text Solution

    |

  12. Consider the following system of equations x+2y=4,2x+5y=9 Express ...

    Text Solution

    |

  13. Consider the following system of equations x+2y=4,2x+5y=9 Find adj...

    Text Solution

    |

  14. Consider the following system of equations x+2y=4,2x+5y=9 Solve th...

    Text Solution

    |

  15. Consider the point A(-2,-3),B(3,2),C(-1,-8) Find the area of Delt...

    Text Solution

    |

  16. Consider the point A(-2,-3),B(3,2),C(-1,-8) Find third vertex of any...

    Text Solution

    |

  17. Find the inverse of the following A=[[1,2,3],[0,2,4],[0,0,5]]

    Text Solution

    |

  18. Find the inverse of the following A=[[1,0,0],[3,3,0],[5,2,-1]]

    Text Solution

    |

  19. Find the inverse of the following A=[[2,1,3],[4,-1,0],[-7,2,1]]

    Text Solution

    |

  20. Find the inverse of the following A=[[1,-1,2],[0,2,-3],[3,-2,4]]

    Text Solution

    |