Home
Class 12
MATHS
If A=[(cosalpha,-sinalpha),(sinalpha,cos...

If `A=[(cosalpha,-sinalpha),(sinalpha,cosalpha)]`, then `A+A'=1`, if the value of `alpha` is
a. π/ 6
b. π/ 3
c. π
d. 3 π/ 2

A

`(pi)/(6)`

B

`(pi)/(3)`

C

`pi`

D

`(3pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    OMEGA PUBLICATION|Exercise IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE |14 Videos
  • LINEAR PROGRAMMING

    OMEGA PUBLICATION|Exercise Question (Miscellaneous Exercise) |8 Videos
  • PROBABILITY

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|38 Videos

Similar Questions

Explore conceptually related problems

If A = [(cosalpha, -sinalpha),(sinalpha, cosalpha)] , then A + A' = I, if the value of alpha is

If A = {:[(cosalpha, -sinalpha),(sinalpha, cosalpha)] , then A + A' = I, if the value of alpha is

If A = {:[(cosalpha, -sinalpha),(sinalpha, cosalpha)] , then A + A' = I, if the value of alpha is

If A = {:[(cosalpha, sinalpha),(-sinalpha, cosalpha)] , then find A^2

If A = [[cosalpha, -sinalpha],[sinalpha,cosalpha]] and A + A' = I , then the value of alpha is:

If A = [(cos alpha, - sinalpha),(sinalpha, cosalpha)] , then for what value of alpha , is A an identity matrix?

If A = [(cos alpha , sin alpha),(-sinalpha, cosalpha)] , verify that AA' = I_2 = A'A

If A = {:((cosalpha, -sinalpha),(sinalpha, cosalpha):}) , then for what value of alpha is A an identity matrix?

If A=|[alpha,2], [2,alpha]| and |A|^3=125 , then the value of alpha is a. +-1 b. +-2 c. +-3 d. +-5

For the matrix A = [(cos alpha, -sinalpha, 0),(sinalpha, cosalpha, 0),(0,0,1)] , verify that A (adj A) = |A| I.

OMEGA PUBLICATION-MATRICES -MULTIPLE CHOICE QUESTIONS
  1. A=[a(ij)](mxxn) is a square matrix, if a. m < n b. m > n c. m ...

    Text Solution

    |

  2. Which of the given values of x and y make the following pair of matric...

    Text Solution

    |

  3. If A=[(cosalpha,-sinalpha),(sinalpha,cosalpha)], then A+A'=1, if the v...

    Text Solution

    |

  4. Matrices A and B will be inverse of each other only if a. AB = BA ...

    Text Solution

    |

  5. If A=[(alpha,beta),(gamma,-alpha)] is such that A^(2)=I, then a. 1 ...

    Text Solution

    |

  6. If the matrix A is both symmetric and skew symmetric, then :

    Text Solution

    |

  7. If A is square matrix such that A^(2)=A, then (I+A)^(3)-7A is equal to...

    Text Solution

    |

  8. If A = [ a(ij)]("mxn") is a rectangular matrix, then

    Text Solution

    |

  9. If A,B symmetric matrices of the same order. Then AB-BA is a a. Ske...

    Text Solution

    |

  10. The number of all possible matrices of order 3xx3 with each entry 0 o...

    Text Solution

    |

  11. If A matrix is symmetric as well as skew symmetric, then a. A is dia...

    Text Solution

    |

  12. Matrices A and B will be inverse of each other only if a. AB = BA ...

    Text Solution

    |

  13. Assume X, Y, Z, W and P are matrices of order 2xxn, 3xxk, 2xxp, nxx3 ...

    Text Solution

    |

  14. Assume X, Y, Z, W and P are matrices of order 2xxn, 3xxk, 2xxp, nxx3 ...

    Text Solution

    |

  15. A=[a(ij)](mxxn) is a square matrix, if a. m < n b. m > n c. m ...

    Text Solution

    |

  16. Which of the given values of x and y make the following pair of matri...

    Text Solution

    |

  17. If A=[(cosalpha,-sinalpha),(sinalpha,cosalpha)], then A+A'=1, if the v...

    Text Solution

    |

  18. Matrices A and B will be inverse of each other only if

    Text Solution

    |

  19. If A=[(alpha,beta),(gamma,-alpha)] is such that A^(2)=I, then a. 1 ...

    Text Solution

    |

  20. If the matrix A is both symmetric and skew symmetric, then :

    Text Solution

    |