Home
Class 12
MATHS
The system AX = B of n equation in n unk...

The system AX = B of n equation in n unknown has infinitely many solutions if

A

det A `ne0 `

B

( adj A ) `B ne O`

C

det A = 0

D

(adj A) B= O

Text Solution

Verified by Experts

The correct Answer is:
D
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

A homogenous system of 3 equation with 3 unknowns AX=O has infinitely many solutions, if

A homogenous system of 3 equation with 3 unknowns AX=0 has infinitely many solutions, if

A non-Homogeneous system of 3 equations in three unknowns AX=D has infinitely many solutions, if

" A non-Homogeneous system of "3" ' equations in three unknowns "AX=D" has infinitely many solutions,if "

Write the value of k for which the system of equations 3x-2y=0 and kx+5y=0 has infinitely many solutions.

The number of values of k for which the system of the equations 4k and kx+(k+3)y=3k-1 has infinitely many solutions is 0 b.1 c.2 d. infinite

The system of equations x+py=0, y+pz=0 and z+px=0 has infinitely many solutions for

Consider the system of equations {:(2x+lambday+6z=8),(x+2y+muz=5),(x+y+3z=4):} The system of equations has : Infinitely many solutions if :

Which of the following system of equation has infinitely many solutions ?

A non Homogeneous system of 3 equations in three unknowns AX=D has unique solution, if

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. The number of matrices in A is

    Text Solution

    |

  14. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

    Text Solution

    |

  15. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

    Text Solution

    |

  16. Let A be an mxxn matrix. If there exists a matrix L of type nxxm such ...

    Text Solution

    |

  17. The number of right inverses for the matrix [{:( 1,-1,2),( 2,-1,1):}]

    Text Solution

    |

  18. Let A=[{:(x^(2),6,8),(3,y^(2),9),(4,5,z^(2)):}],B=[{:(2x,3,5),(2,2y,6)...

    Text Solution

    |

  19. if Aa n dB are squares matrices such that A^(2006)=Oa n dA B=A+B ,t h ...

    Text Solution

    |

  20. If A=[1 0-1 7] , find k such that A^2-8A+k I=O .

    Text Solution

    |