Home
Class 12
MATHS
Suppose k is a root of x^(2)-6.1x+5.1=0 ...

Suppose k is a root of `x^(2)-6.1x+5.1=0` such that A`=[(1,2,1),(3,2,3),(1,1,k)]` is non -singular then tr (adj (A))=

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Concept - based) (Single Correct Answer Type Questions)|10 Videos

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise EXERCISE ( LEVEL -1) (Single Correct Answer Type Questions)|43 Videos

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( LEVEL 2 ( Straight Objective Type Questions ) )|11 Videos

  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTRE ENTRANCE EXAMINATION PAPERS|9 Videos

Similar Questions

Explore conceptually related problems

If A is a 3xx3 non-singular matrix,then |A^(-1)adj(A)| 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.

If -1+i is a root of x^(4)+4x^(3)+5x^(2)+2x+k=0 then k=

If matrix A=[{:(3,2,4),(1,2,-1),(0,1,1):}]and A^(-1)=1/k adj A, then k is

Let A be a non singular matrix such that A^(-1)=[(1, 1, 1),( 4, 6, 8 ),( 100, 100, 99 )] .Then the value of det (adj2A)+det(2A)=

If A=[[2-k,2],[1,3-k]] is a singular matrix,then find the value of 5k-k^(2) .

If [{:( 2 + x , 3 , 4 ) , (1 , -1 , 2 ) , (x , 1 , -5):}] is a singular matrix then x is

A=[[1,1,3],[5,2,6],[-2,-1,-3]] is a nilpotent matrix of index K .Then K=

MCGROW HILL PUBLICATION-MATRICES-SOLVED EXAMPLES ( LEVEL 2 (Numercial Answer Type Questions))
  1. Let A = [(7,5),(4,8)] ,B= [(2,3),(3,5)] and C= [(5,-3),(-3,2)] then su...

    Text Solution

    |

  2. If x =alpha, y=beta, z = gamma is a solution of the system of equation...

    Text Solution

    |

  3. Suppose p,q,r in R and and pqr = 2.5 . Let A = [(p,q,r),(r,p,q),(q,r,...

    Text Solution

    |

  4. Suppose A and B are two 3xx3 non singular matrices such that tr (AB) =...

    Text Solution

    |

  5. Suppose k is a root of x^(2)-6.1x+5.1=0 such that A=[(1,2,1),(3,2,3),(...

    Text Solution

    |

  6. Let A = ((2.1,2.7,1.3),(3.1,3.2,1.7),(2.1,2.5,2.9)). The sum of values...

    Text Solution

    |

  7. If the system of linear equations ax+(a+1)y+(a-1)z=0 (a-1)x+(a+2)y...

    Text Solution

    |

  8. Let A = [(3,-1),(0,2)] . Suppose A satisfies the equation x^(2)+ax+b=0...

    Text Solution

    |

  9. Let A = [(5.1,-3.1,0),(-3.1,5.1,0),(0,0,2.2)] X be a non zero 3xx1 mat...

    Text Solution

    |

  10. A solution set of the equations x+2y+z=1, x+3y+4z=k, x+5y+10z=k^(2) is

    Text Solution

    |

  11. Let alpha=(2kpi)/(2025),beta=(2mpi)/(2026)"and " gamma=(2kpi)/(2027) ...

    Text Solution

    |

  12. Let A = ((1,2,3),(0,0,0),(3,2,1)) and A^(n)=((a(n),b(n),c(n)),(0,0,0),...

    Text Solution

    |

  13. Let A and B be two 3xx3 real matrices such that AB ne BA AB-B^(2)...

    Text Solution

    |

  14. Let A and B be two 3xx3 matrices with integer entries . If 6AB +2A+3B=...

    Text Solution

    |

  15. Let A = ((1,1,3),(5,2,6),(-2,-1,-3)) and let n be the smallest value o...

    Text Solution

    |

  16. Suppose a,b,c in R - {0} and a+b+c =0 Let alpha =(1)/(5) (a^(5)+b^(5)+...

    Text Solution

    |

  17. Let m = the number of values of a for which the system of equations ...

    Text Solution

    |

  18. If A = [(2,52,152),(4 , 106,358),(6,162,620)] then det (adj ((1)/(2) A...

    Text Solution

    |