Home
Class 12
MATHS
If Ais symmetric and B is skew-symmetric...

If Ais symmetric and B is skew-symmetric matrix, then which of the following is/are CORRECT ?

A

`ABA^(T)` is a symmetric matrix

B

`AB^(T)+BA^(T)` is a symmetric matrix

C

`(A+B)(A-B)` is a skew symmetric matrix

D

`(A+I)(B-I)` is a skew symmetric matrix

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 64

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 66

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

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

If A is skew-symmetric matrix, then trace of A is

If a square matrxi A is skew-symmetric, then which of the following is correct?

If a matrix A is symmetric as well as anti-symmetric, then which one of the following is correct ?

If the matrix A is both symmetric and skew-symmetric , then

If A is a skew-symmetric matrix of order 3, then |A|=

Let A and B be any two 3xx3 matrices . If A is symmetric and B is skew -symmetric then the matrix AB-BA is :

The inverse of a skew symmetric matrix is

If A is a square matrix, then A is skew symmetric if

A square matrix A is said skew - symmetric matrix if

NTA MOCK TESTS-NTA JEE MOCK TEST 65-MATHEMATICS
  1. Let g(x)=xf(x), where f(x)={{:(x^(2)sin.(1)/(x),":",x ne0),(0,":",x=0)...

    Text Solution

    |

  2. Equivalent statement of the statement ''If 9 gt 10 then 3^(2)=5'' will...

    Text Solution

    |

  3. Let A be the foot of the perpendicular from the origin to the plane x-...

    Text Solution

    |

  4. Let veca, vecb and vecc are three non - collinear vectors in a plane s...

    Text Solution

    |

  5. If the system of equations 2x-3y+5z=12, 3xy+pz=q and x-7y+8z-17 is con...

    Text Solution

    |

  6. If Ais symmetric and B is skew-symmetric matrix, then which of the fol...

    Text Solution

    |

  7. In the figure shown, OABC is a rectangle with OA=3 units, OC = 4 units...

    Text Solution

    |

  8. The line 2x-y+1=0 touches a circle at the point (2, 5) and the centre ...

    Text Solution

    |

  9. The locus of the point (x, y) whose distance from the line y=2x+2 is e...

    Text Solution

    |

  10. Let alpha and beta be the roots of x^(2)+x+1=0, then the equation whos...

    Text Solution

    |

  11. Let the integral I=int((2020)^(x+sin^(-1)(2020)^(x)))/(sqrt(1-(2020)^(...

    Text Solution

    |

  12. The integral I=int((pi)/(4))^((pi)/(2))sin^(6)xdx is satisfies

    Text Solution

    |

  13. The general solution of the differential equation (dy)/(dx)=2y tan x+t...

    Text Solution

    |

  14. If two points are taken on the mirror axis of the ellipse (x^(2))/(25)...

    Text Solution

    |

  15. If (-3, -1) is the largest interval in which the function f(x)=x^(3)+6...

    Text Solution

    |

  16. Let f(i)(x)=sin(2p(i)x) for i=1,2,3 & p(i) in N. If is given that the ...

    Text Solution

    |

  17. For any positive n, let f(n)=(4n+sqrt(4n^(2)-1))/(sqrt(2n+1)+sqrt(2n-1...

    Text Solution

    |

  18. If cos^(-1)(x-(x^(2))/(2)+(x^(3))/(4)-…)" "+sin^(-1)(x^(2)-(x^(4))/(2...

    Text Solution

    |

  19. A fair coin is tossed once. If it shows head, then 2 fiar disc are thr...

    Text Solution

    |

  20. The area bounded by |x|+|y|=1 and y ge x^(2) in the first quadrant is ...

    Text Solution

    |