Home
Class 12
MATHS
If A=[(cos alpha, -sin alpha, 0),(sin al...

If `A=[(cos alpha, -sin alpha, 0),(sin alpha, cos alpha,0),(0,0,1)]` then `A^(-1)` is

A

A

B

`-A`

C

adj (A)

D

`-"adj (A)"`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise TRIGONOMETRIC FUNCTIONS |44 Videos
  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PAIRS OF LINES |21 Videos
  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MATHEMATICAL LOGIC |32 Videos
  • PROBABILITY DISTRIBUTION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|9 Videos
  • THREE DIMENSIONAL GEOMETRY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

Similar Questions

Explore conceptually related problems

Let A_(alpha)=[[cos alpha,-sin alpha,osin alpha,cos alpha,00,0,1]]

If A(alpha, beta)=[("cos" alpha,sin alpha,0),(-sin alpha,cos alpha,0),(0,0,e^(beta))] , then A(alpha, beta)^(-1) is equal to

If A=[(cos alpha,sin alpha),(-sin alpha,cos alpha)] and A. adj A=[(k,0),(0,k)] , then k is equal to

If A=([cos alpha,-sin alpha,0sin alpha,cos alpha,00,0,1]), find adj.AA(adj.A)=(adj.A)A,=|A|I_(3)

Let F(alpha)=[[cos alpha,-sin alpha,0sin alpha,cos alpha,00,0,1]], where alpha in R Then (F(alpha))^(-1) is equal to F(alpha^(-1)) b.F(-alpha) c.F(2 alpha)d.-[[1,11,0]]

Let A = [{:(cos alpha,- sin alpha ), ( sin alpha , cos alpha ):}], (a in R) such that A ^(32) = [{:(0,-1), (1, 0):}] is the value of alpha is (pi)/(2^(k)), then the value of k is

If Delta = |(cos alpha,- sin alpha,1),(sin alpha,cos alpha,1),(cos (alpha + beta),- sin (alpha + beta),1)| , then

NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-MATRICES
  1. The adjoint matrix of [(3,-3,4),(2,-3,4),(0,-1,1)] is

    Text Solution

    |

  2. If A=[(cos alpha, -sin alpha, 0),(sin alpha, cos alpha,0),(0,0,1)] the...

    Text Solution

    |

  3. The solutiion of (x,y,z) the equation [(-1,0,1),(-1,1,0),(0,-1,1)][(x)...

    Text Solution

    |

  4. If omega is a complex cube root of unity then the matrix A = [(1, omeg...

    Text Solution

    |

  5. If A=[[4, -1], [-1, k]] such that A^(2)-6A+7I=0 and k=

    Text Solution

    |

  6. Simplify cos theta[(cos theta,sin theta),(-sin theta,cos theta)]+sin t...

    Text Solution

    |

  7. Let {:A=[(0,0,-1),(0,-1,0),(-1,0,0)]:}. The only correct statement abo...

    Text Solution

    |

  8. If A = [(cos alpha,sin alpha),(-sin alpha,cos alpha)], then A^(10) = ....

    Text Solution

    |

  9. The element of second row and third column in the inverse of [[1, 2, 1...

    Text Solution

    |

  10. If A = [(4,5),(2,5)], then |(2A)^(-1)|=....

    Text Solution

    |

  11. If [(x-y-z),(-y+z),(z)]=[(0),(5),(3)] then the values of x,y and z are...

    Text Solution

    |

  12. The value of x, y, z for the following system of equations x + y + z =...

    Text Solution

    |

  13. If A = [(3,0,0),(0,3,0),(0,0,3)], then |A||adj A| =...

    Text Solution

    |

  14. If the system of equations 6x + 2y = 3 and kx + y = 2 has a unique so...

    Text Solution

    |

  15. Let A=[1-1 1 2 1-3 1 1 1]a n d10 B=[-4 2 2-5 0alpha1 2 3]dot If B is...

    Text Solution

    |

  16. Matrix A =[(1,2,3),(1,1,5),(2,4,7)] then the value of A(31) A(3...

    Text Solution

    |

  17. For a invertible matrix A if A (adj A) =[(10,0),(0,10)] then |A...

    Text Solution

    |

  18. IF the inverse of the matrix [(alpha , 14,-1),(2,3,1),(6,2,3)] ...

    Text Solution

    |

  19. Select and write the most appropriate answer from the given alternativ...

    Text Solution

    |

  20. A = [(cos theta,-sin theta),(-sin theta,-cos theta)] then find A^(-1).

    Text Solution

    |