Home
Class 12
MATHS
if A and B are matrices of same order, t...

if A and B are matrices of same order, then `(AB'-BA')` is a 1) null matrix 3)symmetric matrix 2) skew -symmetric matrix 4)unit matrix

A

skew symmetric matrix

B

null matrix

C

symmetric matrix

D

unit matrix

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 2: Concept Applicator|30 Videos

  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 1: Concept Builder (Topic 2)|23 Videos

  • MATHEMATICAL REASONING

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    DISHA PUBLICATION|Exercise Exercise-2 Concept Applicator|20 Videos

Similar Questions

Explore conceptually related problems

If A and B are matrices of the same order, then AB^(T)-B^(T)A is a a ( a) skew-symmetric matrix (b) null matrix (c) unit matrix (d) symmetric matrix

If A and B are symmetric of the same order, then (A) AB is a symmetric matrix (B) A-B is skew symmetric (C) AB-BA is symmetric matrix (D) AB+BA is a symmetric matrix

Choose the correct answer If A,B are symmetric matrices of same order,then AB BA is a (A) Skew symmetric matrix (B) Symmetric matrix (C) Zero matrix (D) Identity matrix

Orthogonal Matrix ||Symmetric Matrix || Skew Symmetric Matrix

Let A and B be symmetric matrices of same order. Then A+B is a symmetric matrix, AB-BA is a skew symmetric matrix and AB+BA is a symmetric matrix

A square matrix A is said skew - symmetric matrix if

If A and B are two symmetric matrix of same order,then show that (AB-BA) is skew symmetric matrix.

If AB are symmetric matrices of same order then show that AB-BA is a skew symmetric matrix.

If A and B are symmetrices matrices of the same order, then A B^T B A^T is a (a) skew-symmetric matrix (b) null matrix (c) symmetric matrix (d) none of these

DISHA PUBLICATION-MATRICES-Exercise 1: Concept Builder (Topic 3)
  1. If A=[(cosx,-sinx),(sinx,cosx)], then AA^(T) is

    Text Solution

    |

  2. If A is symmetric as well as skew-symmetric matrix, then A is

    Text Solution

    |

  3. Which of the following is correct?

    Text Solution

    |

  4. The element a(ij) of square matrix is given by a(ij)=(i+j)(i-j) then m...

    Text Solution

    |

  5. Let A =[(1,-1,1),(2,1,-3),(1,1,1)] and 10B=[(4,2,2),(-5,0,alpha),(...

    Text Solution

    |

  6. Consider the matrix A=[(4,1),(1,5)] on applying elementary row operati...

    Text Solution

    |

  7. if A and B are matrices of same order, then (AB'-BA') is a 1) null mat...

    Text Solution

    |

  8. If A^2-A +I = 0, then the inverse of A is: (A) A+I (B) A (C) ...

    Text Solution

    |

  9. For any square matrix A,A A^(T) is a

    Text Solution

    |

  10. Which one of the following is wrong?

    Text Solution

    |

  11. If A is a 3xx3 matrix and B is a matrix such that A^TB and BA^(T) are ...

    Text Solution

    |

  12. h1. If C is skew-symmetric matrix of order n and X is nxx1 column matr...

    Text Solution

    |

  13. If A is a 3xx3 skew-symmetric matrix, then trace of A is equal to -1 b...

    Text Solution

    |

  14. Orthogonal matrix

    Text Solution

    |

  15. A = [[2,-1],[-7,4]] & B =[[4,1],[7,2]] then B^TA^T is :

    Text Solution

    |

  16. If {:A=[(costheta,-sintheta),(sintheta,costheta)]:},"then" A^T+A=I2, i...

    Text Solution

    |

  17. Using elementary row transformations, find the inverse of the matrix A...

    Text Solution

    |

  18. Consider the matrices A=[(4,6,-1),(3,0,2),(1,-2,5)], B=[(2,4),(0,1),...

    Text Solution

    |

  19. If A=[(2,1),(0,x)] and A^(-1)=[(1/2,1/6),(0,1/x)], then the value of x...

    Text Solution

    |

  20. If P is a two-rowed matrix satisfying P' = P^(-1), then P can be

    Text Solution

    |