Home
Class 12
MATHS
Find the values of x for which matrix [(...

Find the values of x for which matrix `[(3,-1+x,2),(3,-1,x+2),(x+3,-1,2)]` is singular.

Text Solution

AI Generated Solution

To find the values of \( x \) for which the matrix \[ A = \begin{pmatrix} 3 & -1 + x & 2 \\ 3 & -1 & x + 2 \\ x + 3 & -1 & 2 \end{pmatrix} ...
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    CENGAGE|Exercise Exercise 13.1|5 Videos
  • MATRICES

    CENGAGE|Exercise Exercise 13.2|6 Videos
  • MATHMETICAL REASONING

    CENGAGE|Exercise JEE Previous Year|10 Videos
  • METHODS OF DIFFERENTIATION

    CENGAGE|Exercise Single Correct Answer Type|46 Videos

Similar Questions

Explore conceptually related problems

Find the value of x for which the matrix A=[(2//x,-1,2),(1,x,2x^(2)),(1,1//x,2)] is singular.

The number of values of x for which the matrix A=[(3-x,2,2),(2,4-x,1),(-2,-4,-1-x)] is singular, is

find the real value of x for which the matrix =[(x+1,3,5),(1,x+3,5),(1,3,x+5)] is non-singular.

The value of x for which the matrix |(-x,x,2),(2,x,-x),(x,-2,-x)| will be non-singular, are

For how many values of 'x' in the closed interval [-4,-1] is the matrix [(3,-1+x,2),(3,-1,x+2),(x+3,-1,2)] singular ? (A) 2 (B) 0 (C) 3 (D) 1

Determine the values of x for which the matrix A=[[-5,x+2,24,1,x-6]] is singular.

" The number of values of "x in[-4,-1]" ,for which the matrix "[[3,-1+x,2],[3,-1,x+2],[x+3,-1,2]]" is singular,is "

For what value of x, the matrix [{:( 3-x,2,2),( 2,4-x,1),(-2,-4,-1-x) :}] is singular

CENGAGE-MATRICES-Solved Examples And Exercises
  1. Find the values of x for which matrix [(3,-1+x,2),(3,-1,x+2),(x+3,-1,2...

    Text Solution

    |

  2. In which of the following type of matrix inverse does not exist always...

    Text Solution

    |

  3. If both A-1/2Ia n dA+1/2 are orthogonal matices, then (a)A is ortho...

    Text Solution

    |

  4. If nth-order square matrix A is a orthogonal, then |adj(adjA)| is (...

    Text Solution

    |

  5. If P is an orthogonal matrix and Q=P A P^T an dx=P^T Q^1000 P then x^...

    Text Solution

    |

  6. If A is a nilpotent matrix of index 2, then for any positive integer n...

    Text Solution

    |

  7. If Aa n dB are two matrices such that A B=Ba n dB A=A ,t h e n (A^5-B...

    Text Solution

    |

  8. If Z is an idempotent matrix, then (I+Z)^n I+2^n Z b. I+(2^n-1)Z c. ...

    Text Solution

    |

  9. If A is an orthogonal matrix then A^(-1) equals A^T b. A c. A^2 d. non...

    Text Solution

    |

  10. If A^2=1, then the value of det(A-I) is (where A has order 3) 1 b. -1 ...

    Text Solution

    |

  11. Let A be an nth-order square matrix and B be its adjoint, then |A B+K ...

    Text Solution

    |

  12. A=[(a,1,0),(1,b,d),(1,b,c)],B=[(a,1,1),(0,d,c),(f,g,h)],U=[(f),(g),(h)...

    Text Solution

    |

  13. If M is a 3 xx 3 matrix, where det M=1 and MM^T=1, where I is an ident...

    Text Solution

    |

  14. If A is a diagonal matrix of order 3xx3 is commutative with every squa...

    Text Solution

    |

  15. Let S be the set which contains all possible vaues fo I ,m ,n ,p ,q ,r...

    Text Solution

    |

  16. Given a matrix A=[a b c b c a c a b],w h e r ea ,b ,c are real positiv...

    Text Solution

    |

  17. If A is a square matrix of order 3 such that |A|=2,t h e n|(a d jA^(-1...

    Text Solution

    |

  18. Let A=[[3x^2], [1], [6x]],B=[a,b,c]and C=[[(x+2)^2, 5x^2, 2x],[5x^2, 2...

    Text Solution

    |

  19. If A is an idempotent matrix satisfying, (I-0. 4 A)^(-1)=I-alphaA ,w h...

    Text Solution

    |

  20. Let A=([a(i j)])(3xx3) be a matrix such that AA^T=4Ia n da(i j)+2c(i j...

    Text Solution

    |

  21. Let A be the set of all 3xx3 skew-symmetri matrices whose entries are ...

    Text Solution

    |