Home
Class 12
MATHS
If B is a real mxn matrix, show that B'B...

If `B` is a real `mxn` matrix, show that `B'B` as well as `BB'`is a symmetric matrix.

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (SUBJECTIVE) (Level-I)|12 Videos
  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (SUBJECTIVE) (Level-II)|13 Videos
  • MATRICES

    FIITJEE|Exercise SOLVED PROBLEM (SUBJECTIVE)|12 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos
  • PARABOLA

    FIITJEE|Exercise NUMERICAL BASED|5 Videos

Similar Questions

Explore conceptually related problems

If B is a real mxn matrix,show that B'B as well as BB^(prime i is a symmetric matrix.)

A matrix which is both symmetric as well as skew-symmetric is a null matrix.

A matrix which is both symmetric as well as skew-symmetric is a null matrix.

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

If a square matrix A is orthogonal as well as symmetric, then

If A is a square matrix,then AA is a (a) skew- symmetric matrix (b) symmetric matrix (c) diagonal matrix (d) none of these

For any matrix a show that A+A^(T) is symmetric matrix

Write a square matrix which is both symmetric as well as skew-symmetric.

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

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

FIITJEE-MATRICES -SOLVED PROBLEM
  1. If A=[{:(,1,1,2),(,0,2,1),(,1,0,2):}] show that A^(3)=(5A-I)(A-I)

    Text Solution

    |

  2. Prove that every square matrix can be uniquely expressed as the sum of...

    Text Solution

    |

  3. If B is a real mxn matrix, show that B'B as well as BB'is a symmetric ...

    Text Solution

    |

  4. Solve the following system of equation by matrix method x + y - 2z = 1...

    Text Solution

    |

  5. Solve the following system of equation by matrix method x+2y +3z+1=...

    Text Solution

    |

  6. Find the values of lambda and mu so that the system of equations (i)...

    Text Solution

    |

  7. If A =[{:( 2,5,3),(3,1,2),(1,2,1) :}] then A^(-1) is equal to

    Text Solution

    |

  8. With the help of metrices the solution of the equations 3x+y+2z=3,2x-3...

    Text Solution

    |

  9. If the trace of the matrix A= [{:( x-1 ,0,2,5),( 3, x^(2) - 2 ,4,1),(...

    Text Solution

    |

  10. If A and B are square matrices of order 3, then

    Text Solution

    |

  11. If A and B are any two square matrices of the same order than ,

    Text Solution

    |

  12. IF A = [{:( -2,3,-1),( -1,2,-1),( -6,9,-4) :}] and B = [{:( 1,3,-1),(...

    Text Solution

    |

  13. If A=[{:( 1,-tanx ),( tanx ,1):}] then the value of [A^(T) A^(-1) ] ...

    Text Solution

    |

  14. If A = [{:( alpha , 2),( 2,alpha ) :}] and |A^(3) | = 125 then the val...

    Text Solution

    |

  15. A= [{:( 1,0,0) ,( 0,1,1) , ( 0,-2,4) :}] ,I= [{:( 1,0,0) ,( 0,1,0),( 0...

    Text Solution

    |

  16. If A is a square matrix of order 5 and 9A^(-1) then [adj (adj AJJ] (...

    Text Solution

    |

  17. The set of natural numbers N is partitioned into arrays of rows and co...

    Text Solution

    |

  18. For what value of x, the matrix [{:( 3-x,2,2),( 2,4-x,1),(-2,-4,-1-x)...

    Text Solution

    |

  19. The adjoint of the matrix A= [{:( 1,2),( 3,-5) :}] is

    Text Solution

    |

  20. The system AX = B of n equation in n unknown has infinitely many solut...

    Text Solution

    |