Home
Class 12
MATHS
Express the marix A=|{:(3,2,3),(4,5,3),(...

Express the marix `A=|{:(3,2,3),(4,5,3),(2,4,5):}|` as the sum of a symmetric matrix and a skew-symmetric matrix.

Text Solution

Verified by Experts

The correct Answer is:
which is the sum of a symmetric matrix and a skew-symmetric matrix.
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Exams (Assertion- Reason Type)|2 Videos

  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT-4|4 Videos

Similar Questions

Explore conceptually related problems

Express the matrix A=[{:(-3,4,1),(2,3,0),(1,4,5):}] as the sum of symmetric matrix and a skew-symmetric matrix.

(b) answer the foll. Questions: (i) express the matrix A=[[3,2,3],[4,5,3],[2,4,5]] as the sum of a symmetric matrix and a skew -symmetric matrix.

Express the matrix A={:[(4,2,-1),(3,5,7),(1,-2,1)]:} as the sum of a symmetric matrix and a skew-symmetric matrix.

Express the matrix A={:[(-3,4,1),(2,3,0),(1,4,5)] as the sum of a symmetric and a skew. Symmetric matrix.

Express the matric A= [[-3,4,1],[2,3,0],[1,4,5]] as the sum of a symmetric matrix and a skex symmetric matrix.

Express the matrix B=[(2,-2,-4),(-1,3,4),(1,-2,-3)] as the sum of a symmetric and a skew symmetric matrix.

Express [[4,3,7],[6,5,-8],[1,2,6]] as the sum of a symmetric matrix and a skew symmetric matrix .

If the matrix A is both symmetric and skew symmetric then

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

Prove that every square matrix can be uniquely expressed as the sum of a symmetric matrix and a skew-symmetric matrix.

CHHAYA PUBLICATION-QUESTION PAPER -2018-WBJEE
  1. Express the marix A=|{:(3,2,3),(4,5,3),(2,4,5):}| as the sum of a symm...

    Text Solution

    |

  2. The approximate value of sin31^(@) is

    Text Solution

    |

  3. Let f1(x)=e^x,f2(x)=e^(f1(x)),"........",f(n+1)(x)=e^(fn(x)) for all n...

    Text Solution

    |

  4. f(x)=|x| is increasing in

    Text Solution

    |

  5. Let f(x)=3x^(10)-7x^8+5x^6-21x^3+3x^2-7. Then lim(hto0)(f(1-h)-f(1))/(...

    Text Solution

    |

  6. Let f:[a,b]toR be such that f is differentiable in (a,b), f is continu...

    Text Solution

    |

  7. Let f:Rto R be a twice continuously differentiable function such that ...

    Text Solution

    |

  8. If inte^(sinx)[(xcos^3x-sinx)/(cos^2x)]dx=e^(sinx)*f(x)+c, where c is ...

    Text Solution

    |

  9. If intf(x)sinxcosxdx=(1)/(2(b^2-a^2))logf(x)+c, where c is the constan...

    Text Solution

    |

  10. If M=int0^((pi)/(2))(cosx)/(x+2)dx,N=int0^((pi)/(4))(sinxcosx)/((x+1)^...

    Text Solution

    |

  11. The value of the integral I=int((1)/(2014))^(2014)(tan^(-1)x)/(x)dx is

    Text Solution

    |

  12. Let I= int(pi//4)^(pi//3) (sinx)/(x)dx. Then

    Text Solution

    |

  13. The value of I=int((pi)/(2))^((5pi)/(2))(e^(tan^(-1))(sinx))/(e^(tan^(...

    Text Solution

    |

  14. The value of lim(ntooo)(1)/(n)[sec^2""(pi)/(4n)+sec^2""(2pi)/(4n)+.......

    Text Solution

    |

  15. The differential equation representing the family of curves y^2=2c(x+s...

    Text Solution

    |

  16. Let y(x) be a solution of (1+x^2)"" (dy)/(dx)+2xy-4x^2=0 and y(0)=-1. ...

    Text Solution

    |

  17. The law or motion of a body moving along a straight line is x=(1)/(2)...

    Text Solution

    |

  18. Number of common tangents of y=x^2" and " y=-x^2+4x-4 is

    Text Solution

    |

  19. If |{:(-1,7,0),(2,1,-3),(3,4,1):}|=A" then"|{:(13,-11,5),(-7,-1,25),(-...

    Text Solution

    |

  20. If ar=(cos2rpi+isin2rpi)^((1)/(9)), then the value of |{:(a1,a2,a3),(a...

    Text Solution

    |

  21. If Sr=|{:(2r,x,n(n+1)),(6r^2-1,y,n^2(2n+3)),(4r^3-2nr,z,n^3(n+1)):}|, ...

    Text Solution

    |