Home
Class 12
MATHS
Express the following matrices as the su...

Express the following matrices as the sum of a Symmetric and a Skew Symmetric matrix.
`[[6,-2,2],[-2,3,-1],[2,-1,3]]`

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    MAXIMUM PUBLICATION|Exercise EXAMPLE|58 Videos
  • MODEL QUESTION

    MAXIMUM PUBLICATION|Exercise EXAMPLE|322 Videos

Similar Questions

Explore conceptually related problems

Express the following matrices as the sum of a Symmetric and a Skew Symmetric matrix. [[3,3,-1],[-2,-2,1],[-4,-5,2]]

Express the following matrics as the sum of a symmetrics and a skew symmetrics matrix [[1,5],[-1,2]]

Write A as the sum of a symmetric and a skew symmetric matrix. A=[[1,4,-1],[2,5,4],[-1,-6,3]]

Write A=[[3,5],[1,-1]] as the sum of a symmetric and a skew symmetric matrix.

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

express A=[[1,-1],[2,3]] as the sum of a symmetric matrix and a skew symmetric matrix.

Prove that any square matrix can be expressed as the sum of a symmetic and a skew symmetric matrix.

Express A=[[7,3,-5],[0,1,5],[-2,7,3]] as the sum of a symmetric and a skew symmetric matrix .

Express the matrix [[2,-2,-4],[-1,3,4],[1,-2,-3]] as the sum of a symmetric and a skew symmetric matrices.

Express A=[[-1,2,3],[5,7,9],[-2,1,1]] as the sum of a symmetric and skew symmetric matrix.

MAXIMUM PUBLICATION-MATRICES-EXAMPLE
  1. Construct a 3xx4 matrix whose elements are given by a(ij)=abs(-3i+j...

    Text Solution

    |

  2. construct a 3xx4 matrix whose elements are given by a(ij)=2i+j

    Text Solution

    |

  3. Express the following matrices as the sum of a Symmetric and a Skew Sy...

    Text Solution

    |

  4. Express the following matrices as the sum of a Symmetric and a Skew Sy...

    Text Solution

    |

  5. IF A=[[2,4,3],[1,0,6],[0,-2,-3]], Find 3A .

    Text Solution

    |

  6. IF A=[[2,4,3],[1,0,6],[0,-2,-3]], Find A^T

    Text Solution

    |

  7. IF A=[[2,4,3],[1,0,6],[0,-2,-3]], Evalute A+A^T , is it symmetric ? ...

    Text Solution

    |

  8. Consider the following statement : P(n):A^n=[[1+2n,-4n],[n,1-2n]] fo...

    Text Solution

    |

  9. Consider the following statement : P(n):A^n=[[1+2n,-4n],[n,1-2n]] fo...

    Text Solution

    |

  10. Find the matrices A and B if 2A+3B=[[1,2,-1],[0,2,1],[1,2,4]] and A+...

    Text Solution

    |

  11. Construct a 3xx3 matrix A=[a(ij)] where a(ij)=2(i-j)

    Text Solution

    |

  12. Construct a 3xx3 matrix A=[a(ij)] where a(ij)=2(i-j) Show that the m...

    Text Solution

    |

  13. Consider the following statement P(n):A^n=[[cosntheta,sinntheta],[-s...

    Text Solution

    |

  14. Consider the following statement P(n):A^n=[[cosntheta,sinntheta],[-s...

    Text Solution

    |

  15. A=[[1,2,2],[2,1,2],[2,2,1]] , then Find 4A and A^2

    Text Solution

    |

  16. A=[[1,2,2],[2,1,2],[2,2,1]] , then show that A^2-4A=5I3

    Text Solution

    |

  17. Let A=[[2,1,3],[4,1,0]] and B=[[1,-1],[0,2],[5,0]] Find A^T and B^T

    Text Solution

    |

  18. Let A=[[2,1,3],[4,1,0]] and B=[[1,-1],[0,2],[5,0]] Find AB

    Text Solution

    |

  19. Let A=[[2,1,3],[4,1,0]] and B=[[1,-1],[0,2],[5,0]] Show that (AB)^T=...

    Text Solution

    |

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

    Text Solution

    |