Home
Class 12
MATHS
If A and B are symmetric matrices of the...

If A and B are symmetric matrices of the same order, then prove that (A+B) is also symmetric.

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|128 Videos
  • RELATIONS AND FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|86 Videos

Similar Questions

Explore conceptually related problems

If A and B are symmetric matrices of the same order, then show that A B is symmetric if and only if A and B commute, that is A B=B A .

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

If A,B are symmetric matrices of same order then AB-BA is always a …………….

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

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

If A and B are symmetric matrices, prove that A B-B A is a skew symmetric matrix.

Suppose A and B are two symmetric matrices. If AB is symmetric, prove that AB =BA

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

For any square matrix A,prove that A+A' is symmetric.

A N EXCEL PUBLICATION-PROBABILITY-QUESTION BANK
  1. Using the above result prove that tan^-1(frac(1)(2))+tan^-1(frac(1)(...

    Text Solution

    |

  2. If A^T=[[-2,3],[1,2]] and B^T=[[-1,0],[1,2]] then find (A+2B)^T

    Text Solution

    |

  3. If A and B are symmetric matrices of the same order, then prove that (...

    Text Solution

    |

  4. Express A=[[1,7],[2,9]] as a sum of a symmetric and skew-symmetric m...

    Text Solution

    |

  5. The derivative of 2^(sinx) is

    Text Solution

    |

  6. Find dy/dx if x^y = y^x

    Text Solution

    |

  7. If y=ae^(5x)+be^(-5x), show that (d^2y)/(dx^2)-25y=0

    Text Solution

    |

  8. int1/cos^2xdx= a)sec^2x+C b)tan^2x+C c)secx+C d)tanx+C

    Text Solution

    |

  9. Find intxtan^-1xdx.

    Text Solution

    |

  10. Consider the vectors veca=hati-hatj+3hatk and vecb=3hati-7hatj+hatk ...

    Text Solution

    |

  11. Consider the vectors veca=hati-hatj+3hatk and vecb=3hati-7hatj+hatk ...

    Text Solution

    |

  12. Consider the vectors veca=hati-hatj+3hatk and vecb=3hati-7hatj+hatk Fi...

    Text Solution

    |

  13. Consider the vectors veca=2hati-3hatj+hatk Find abs(veca)

    Text Solution

    |

  14. Consider the vectors veca=2hati-3hatj+hatk Find lamda if veca is per...

    Text Solution

    |

  15. Consider the vectors veca=2hati-3hatj+hatk. Find a vector parallel t...

    Text Solution

    |

  16. Find the relationship between p and q so that the function f(x) = {...

    Text Solution

    |

  17. Find dy/dx of the following y=sec^(-1)((1)/(2x^2-1))

    Text Solution

    |

  18. If f:R rarr R, f(x)=x+3. Then find fof(1)

    Text Solution

    |

  19. Consider f:RrarrR, f(x)=4x+5. Show that f is invertible.

    Text Solution

    |

  20. Consider f:RrarrR, f(x)=4x+5. Show that f is invertible.

    Text Solution

    |