Home
Class 12
MATHS
Let A=[{:(costheta,sintheta),(-sintheta,...

Let `A=[{:(costheta,sintheta),(-sintheta,costheta):}]`, then |2A| is equal to

A

`4 cos 2 theta`

B

`1`

C

`2`

D

`4`

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - B|21 Videos
  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - C|7 Videos
  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|12 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise section - J|6 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos

Similar Questions

Explore conceptually related problems

if A= [{:(costheta,sintheta),(-sintheta,costheta):}], then A A^T =?

If {:A=[(cos theta,sintheta),(-sintheta,costheta)]:}," then A.A' is

if A=[(costheta,sintheta),(-sintheta,costheta)],then A^(2)=l is true for

If A=[(costheta,sintheta),(-sintheta,costheta)] , then find the value of |A| .

If A=[(costheta,-sintheta),(sintheta,costheta)], then find the values of theta satisfying the equation A^T+A=I_2 .

Simplify: cos theta[{:(costheta,sintheta),(-sintheta,costheta):}]+sintheta[{:(sin theta ,-costheta),(costheta, sintheta):}]

Prove: (costheta)/(1+sintheta)=(1-sintheta)/(costheta)

If A = [(costheta,-sintheta),(sintheta,costheta)] , then the matrix A^(-50) , when theta = (pi)/(12) , is equal to

Show that costheta.[{:(costheta,sintheta),(-sintheta,costheta):}]+sintheta.[{:(sintheta,-costheta),(costheta,sintheta):}]=I.

Simplify the following : cos theta [{:(costheta,-sintheta ),(sintheta,costheta ):}]+sintheta[{:(sintheta,costheta),(-costheta,sintheta):}]