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

If `A=[(cos theta, sin theta, 0),(-sin theta, cos theta, 0),(0,0,1)]` then

A

`"AA"^(T)=A^(T)A=I`

B

`"AA"^(T)=A^(T)A=O`

C

`"AA"^(T)=A^(T)=-I`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B MCQ (DETERMINANTS)|189 Videos

  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C MCQ (INVERSE MATRIX)|88 Videos

  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 MCQ (SPECIAL TYPES QUESTIONS) SET -4|8 Videos

  • MATHEMATICAL REASONING [APPENDIX - 4]

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|150 Videos

  • MEASURES OF DISPERSION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE-2 ( SET -4)|2 Videos

Similar Questions

Explore conceptually related problems

The inverse of [(cos theta, -sin theta, 0),(sin theta, cos theta, 0),(0,0,1)] is

If the matrix [(cos theta, sin theta, 0),(sin theta, cos theta, 0),(0,0,1)] is singular then theta=

I: If the matrix A =[(8,-6,2),(-6,7,-4),(2,-4,lamda)] is singular one, then lamda=3 II: If the matrix [(cos theta, sin theta, 0),(sin theta, cos theta, 0),(0,0,1)] is singular then theta=pi//2

If I=[(1,0),(0,1)]=J[(0,1),(-1,0)] and B=[(cos theta, sin theta),(-sin theta, cos theta)] then B=

If A=[(-cos theta, sin theta),(sin theta, cos theta)] then IAI=

If A = [(cos theta, sin theta),(-sin theta, cos theta)] then show that for all the positive integers n, A^(n) = [(cos n theta,sin n theta),(-sin n theta,cos n theta)] .

The inverse of A=[( cos theta, sin theta),(-sin theta, cos theta)] is

If f(theta)=|(cos^(2) theta, cos theta sin theta, -sin theta),(cos theta sin theta, sin^(2) theta, cos theta),(sin theta, -cos theta, 0)| then f((pi)/12)=

( cos 3 theta - sin 3 theta )/( cos theta+ sin theta ) =

(cos theta + sin theta )^(2) + (cos theta - sin theta )^(2) =

DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1A MCQ (ALGEBRA OF MATRICES)
  1. If A=[(2,3),(5,-7)] then (A')^(2)=

    Text Solution

    |

  2. If A=[(0,-1),(1,0)] then

    Text Solution

    |

  3. If A=[(cos theta, sin theta, 0),(-sin theta, cos theta, 0),(0,0,1)] th...

    Text Solution

    |

  4. If 3A=[(-1,2,2),(2,-1,2),(2,2,-1)] then

    Text Solution

    |

  5. If A=[(0,1),(1,0)], B=[(2,0),(0,1)] then (AB)^(T)=

    Text Solution

    |

  6. If A=[(3,0),(-4,-1)],B=[(3,5,-7),(0,-1,8)],C=[(6),(-1),(0)] then C'B'A...

    Text Solution

    |

  7. If 5A=[(3,-4),(4,x)] and "AA"^(T)=A^(T)A=I then x=

    Text Solution

    |

  8. If A is a square matrix then "AA" is

    Text Solution

    |

  9. A and B are two matrices each of order nxxn. Then which of the followi...

    Text Solution

    |

  10. If A and B are two symmetric matrix of same order, then show that (AB-...

    Text Solution

    |

  11. If A is a symmetric matrix and n epsilon N, then A^(n) is

    Text Solution

    |

  12. If A is a skew symmetric matrix and n is a positive integer then A^(n)...

    Text Solution

    |

  13. If A is a skew-symmetric matrix and n is odd positive integer, then A^...

    Text Solution

    |

  14. If A is a skew symmetric matrix and n is an even positive integer then...

    Text Solution

    |

  15. A is a symmetric matrix or skew symmetric matrix. Then A^(2)is

    Text Solution

    |

  16. Let A be a square matrix. Then A+A^(T) will be

    Text Solution

    |

  17. A square matrix (a(ij)) where a(ij)=0 for i!=j and a(ij)=k (constant) ...

    Text Solution

    |

  18. If A = [(-1,2,3),(2,5,6),(3,x,7)] is symmetric, find value of x.

    Text Solution

    |

  19. If [(0,4,-2),(-4,0,8),(2,-8,x)] is a skew symmetric matrix then find t...

    Text Solution

    |

  20. If [(0,2,1),(-2,0,-2),(-1,x,0)] is a skew symmetric matrix then find t...

    Text Solution

    |