Home
Class 12
MATHS
‘A’ is any square matrix, then det |A-A...

‘A’ is any square matrix, then det `|A-A^T|` is equal to :

A

0

B

1

C

can be 0 or a perfect square

D

cannot be determined

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    VMC MODULES ENGLISH|Exercise LEVEL 2|47 Videos

  • MATRICES AND DETERMINANTS

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|15 Videos

  • JEE MAIN REVISON TEST-23

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos

  • MOCK TEST 1

    VMC MODULES ENGLISH|Exercise PART III : MATHEMATICS (SECTION-2)|10 Videos

Similar Questions

Explore conceptually related problems

If A is any square matrix, then

If B is a non-singular matrix and A is a square matrix, then det (B^(-1) AB) is equal to (A) det (A^(-1)) (B) det (B^(-1)) (C) det (A) (D) det (B)

If B is a non-singular matrix and A is a square matrix, then det (B^(-1) AB) is equal to (A) det (A^(-1)) (B) det (B^(-1)) (C) det (A) (D) det (B)

If A is a square matrix, then A - A' is a

If A is a square matrix of order 3, then |(A-A^T)^(105)| is equal to (1) 105|A| (2) 105|A|^2 (3) 105 (4) 0

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

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

if A is a square matrix such that A^(2)=A, then det (A) is equal to

If A is a square matrix such that |A|=2 , write the value of |AA^T|

If a square matrix A is involutory, then A^(2n+1) is equal to:

VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE ADVANCED ARCHIVE
  1. ‘A’ is any square matrix, then det |A-A^T| is equal to :

    Text Solution

    |

  2. If A and B are square martrices of equal degree, then which one is co...

    Text Solution

    |

  3. If A=[(1,0,0),(0,1,1),(0,-2,4)],6A^-1=A^2+cA+dI, then (c,d)=

    Text Solution

    |

  4. about to only mathematics

    Text Solution

    |

  5. If A=[[alpha,0],[ 1, 1]] and B=[[1, 0],[ 5, 1]], find the values of al...

    Text Solution

    |

  6. Let P=[a(i j)] be a 3xx3 matrix and let Q=[b(i j)],w h e r eb(i j)=2^(...

    Text Solution

    |

  7. If A=|[alpha,2], [2,alpha]| and |A|^3=125 , then the value of alpha ...

    Text Solution

    |

  8. The number of distinct real roots of |(sinx, cosx, cosx),(cos x,sin x,...

    Text Solution

    |

  9. Let "f(x)"=|{:(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x...

    Text Solution

    |

  10. The parameter on which the value of the determinant |[1,a...

    Text Solution

    |

  11. The determinant |x p+y x y y p+z y z0x p+y y p+z|=0 if x ,y ,z

    Text Solution

    |

  12. Consider the set A of all matrices of order 3 xx 3 with entries 0 or 1...

    Text Solution

    |

  13. If A is a 3xx3 non-singular matrix such that A A' = A' A and B = A^(...

    Text Solution

    |

  14. If P is a 3xx3 matrix such that P^(T) = 2 P + I , where P^(T) is the...

    Text Solution

    |

  15. Let omega!=1 be cube root of unity and S be the set of all non-singula...

    Text Solution

    |

  16. Let M and N be two 3xx3 nonsingular skew-symmetric matrices such that ...

    Text Solution

    |

  17. The number of 3xx3 matrices A whose entries are either 0or1 and for wh...

    Text Solution

    |

  18. Given , 2x-y+2z=2, x-2y+z=-4, x+y+lambdaz=4, then the value of lam...

    Text Solution

    |

  19. The number of values of k for which the system of the equations (k+1)x...

    Text Solution

    |

  20. If the system of equations x-k y-z=0, k x-y-z=0,x+y-z=0 has a nonzero ...

    Text Solution

    |

  21. Consider the system of equations x-2y+3z=-1 -x+y-2z=k x-3y+4z=1 ...

    Text Solution

    |