Home
Class 12
MATHS
If the matrix A=({:(0,2),(K,-1):}) satis...

If the matrix `A=({:(0,2),(K,-1):})` satisfies `A(A^(3)+3I)=2I`, then then value of K is

A

`-1`

B

`-(1)/(2)`

C

`1`

D

`(1)/(2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section B)|50 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics Section B|20 Videos

  • JEE MAINS 2020

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|250 Videos

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

Similar Questions

Explore conceptually related problems

If k satisfies k^(2)-k-6>0, then a value exists for

Show that A =[{:(5,3),(-1,-2):}] satisfies the equation A^(2)-3A-7I=0 and hence find the value of A^(-1)

if A=[[1,22,3]] and A^(2)-kA-I_(2)=0 then the value of k is

If A=[[1,2,3],[3,-2,1],[4,2,1]] and A^(3)=40I+KA then the value of 'K' is

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

If A=[12221-2a2b] is a matrix satisfying AA^(T)=9I_(3), then find the values of a and b

A=[{:(1,3),(2,1):}] satisfy the equation A^2-kA-5I=0 , then find k and also A^(-1) .

If A is a non singular square matrix where B=A^(T) and A+B^(2)=I such that A^(3)+I=kA then find the value of k.

show that matrix A = [(3,4),(1,2)] satisfies the equation A^2-5A+2I=0

JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-Mathematics (Section A)
  1. int(0)^(16)(log(e )x^(2))/(log(e )x^(2)+log(e )(x^(2)-44x+484))dx is e...

    Text Solution

    |

  2. If 0 lt x lt 1, then (3)/(2)x^(2)+(5)/(3)x^(3)+(7)/(4)x^(4)+.............

    Text Solution

    |

  3. If the matrix A=({:(0,2),(K,-1):}) satisfies A(A^(3)+3I)=2I, then then...

    Text Solution

    |

  4. If alpha,beta are the distinct roots of x^(2)+bx+c=0, then lim(x to be...

    Text Solution

    |

  5. Let y=y(x) be the solution of the differential equation (dy)/(dx)=2(y+...

    Text Solution

    |

  6. Let (sinA)/(sinB)=(sin(A-C))/(sin(C-B)), where A , B, C are angles of ...

    Text Solution

    |

  7. The statement (p^^(p to q) ^^ (q to r)) to r is

    Text Solution

    |

  8. If (sin^(-1)x)^(2)-(cos^(-1)x)^(2)=a , 0 lt x lt 1, a ne 0, then the v...

    Text Solution

    |

  9. Equation of a plane at a distance sqrt((2)/(21)) from the origin which...

    Text Solution

    |

  10. Each of the persons A and B independently tosses three fair coins....

    Text Solution

    |

  11. The set of all values of k gt -1 for which the equation (3x^(2) +4...

    Text Solution

    |

  12. Let [lambda] be the greatest integer less than or equal to lambda. T...

    Text Solution

    |

  13. Two poles, AB of length a metres and CD of length a+b (b ne a) metres...

    Text Solution

    |

  14. If 0 lt x lt 1 and y=(1)/(2) x^(2) +(2)/(3) x^(3) +(3)/(4) x^(4) + …...

    Text Solution

    |

  15. The area of the region bounded by the parabola (y-2)^(2) =(x-1), the ...

    Text Solution

    |

  16. If y(x) = cot^(-1) ((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-s...

    Text Solution

    |

  17. Let A=(("[x+1]", "[x+2]" , "[x+3]"),("[x]","[x+3]","[x+3]"),("[x]","[...

    Text Solution

    |

  18. Let ZZ be the set of all integers, A={(x,y) in ZZ xx ZZ : (x-2)^(2)+...

    Text Solution

    |

  19. Let M and m respectively be the maximum and minimum values of the func...

    Text Solution

    |

  20. The Boolean expression (p wedge q) rArr ((r wedge q) wedgep) is equiva...

    Text Solution

    |