Home
Class 12
MATHS
If A=[[0,1,0],[1,0,0],[0,0,1]] and B0=2A...

If `A=[[0,1,0],[1,0,0],[0,0,1]]` and `B_0=2A^(98)+A^(49),B_n=adj(B_(n-1))`, then `|B_4|` is equal to :

A

`3^(16)`

B

`3^(32)`

C

`2^(16)`

D

`2^(32)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

If A=[[1,0,0],[0,1,0],[a,b,-1]] , find A^2

If A=[[1,0,0],[0,1,0],[a,b,-1]] and A=A^(-1) then a+b=?

If A=[[0,1],[1,0],[0,1]] and B=[[0,1,2],[2,1,0]], find AB

If A_(0) = [[2 ,-2,-4],[-1,3,4],[1,-2,-3]] and B_(0) =[[-4,-4,-4],[1,0,1],[4,4,3]] and B_(n) = adj (B_(n-1)),n inN and I is an dientity matrix of order 3. For a variable matrix X, the equation A_(0) X = B_(0) will heve

If A_(0) = [[2 ,-2,-4],[-1,3,4],[1,-2,-3]] and B_(0) [[-4,-4,-4],[1,0,1],[4,4,3]] and B_(n) = adj (B_(n-1)),n inN and I is an dientity matrix of order 3. det (A_(0) + A_(0)^(2) B_(0) ^(2) + A_(0)^(2) + A_(0) ^(4) B_(0)^(4) + ... upto 12 terms ) is equal to

If A_(0) = [[2 ,-2,-4],[-1,3,4],[1,-2,-3]] and B_(0)= [[-4,-4,-4],[1,0,1],[4,4,3]] and B_(n) = adj (B_(n-1)),n inN and I is an dientity matrix of order 3. B_(2) + B_(3) + B_(4) +...+ B_(50) is equal to

If A =[{:(2,0,0),(0,1,0),(0,0,1):}] then adj(A) =

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. If a(n+2)=2/a(n+1)+an,a1=1,a2=2 , and ((a1+1/a2)/a3).((a2+1/a3)/a4)......

    Text Solution

    |

  2. Let z1 in C,|z1-3|=1/2,z2 in C, |z2+|z2-1||=|z2-|z2+1||, then least va...

    Text Solution

    |

  3. If A=[[0,1,0],[1,0,0],[0,0,1]] and B0=2A^(98)+A^(49),Bn=adj(B(n-1)), t...

    Text Solution

    |

  4. Tangent at two points P and Q on parabola y^2=2x-3 meet at R(0,1) , th...

    Text Solution

    |

  5. Let hyperbola H : x^2-y^2=1 and ellipse E : x^2/a^2+y^2/b^2=1 and ecce...

    Text Solution

    |

  6. A(cos t , sin t), B(sin t ,-cos t) and C(a,b) form an equilateral tria...

    Text Solution

    |

  7. A password is to be made of 6 to 8 digits from either of the sets A,B,...

    Text Solution

    |

  8. The solution of differential equation sin^2(2x) dy/dx+(8sin^2(2x)+4 si...

    Text Solution

    |

  9. Let f(x)=(5x^2)/2 +alpha/x^5, (x gt 0) and minimum value of f(x) is 14...

    Text Solution

    |

  10. If (p^(**)q) odot (p odot ~q) is tautology then ordered pair (odot ,^(...

    Text Solution

    |

  11. Let x^2+y^2-x+2y=11/4 is a circle with RQ and centre C. If P is any po...

    Text Solution

    |

  12. Let A relation R on number defined by xRy hArr 3x+alpha y is multiple ...

    Text Solution

    |

  13. The value of 15 int0^sqrt3 (xdx)/(sqrt(1+x^2+sqrt((1+x^2)^3))) is equa...

    Text Solution

    |

  14. If P(B//A)=5/7 , P(A//B)=7/9 and P(AnnB)=1/9 given S1 equiv P(A' uu B)...

    Text Solution

    |

  15. Absolute maximum value of f(x)=tan^(-1)(sinx-cosx) is

    Text Solution

    |

  16. A class have B boys and G girls , 3 boys and 2 girls selected at rando...

    Text Solution

    |

  17. The number of distinct real values of lamda for which (x-1)/1=(y-2)/2=...

    Text Solution

    |

  18. If tangent drawn from (2,0) to the parabola x=-2y^2 are also tangents ...

    Text Solution

    |

  19. Let f(x)=lim(x to oo)(cos 2pi x -x^(2n) sin (x-1))/(1+x^(2n+1)-x^(2n))...

    Text Solution

    |

  20. Let f(x)=ax^2+bx+c and f(1)=3 , f(-2)=lamda , f(3)=4 then value of lam...

    Text Solution

    |