Home
Class 12
MATHS
If A=((1,2),(0,1)) P=((cos theta , sin t...

If `A=((1,2),(0,1))` `P=((cos theta , sin theta),( -sin theta, cos theta))`, `Q=P^T AP` find `PQ^(2014)P^T`

A

`((1,2^(2014)),(0,1))`

B

`((1,4028),(0,1))`

C

`(P^(T))^(2013)A^(2014)P^(2013)`

D

`P^(T)A^(2014)P`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-2 : One or More than One Answer is/are Correct|5 Videos
  • MATRICES

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-4 : Subjective Type Problems|5 Videos
  • LOGARITHMS

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-5 : Subjective Type Problems|19 Videos
  • PARABOLA

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-5 : Subjective Type Problems|3 Videos

Similar Questions

Explore conceptually related problems

If A=([1,20,1])P=([cos theta,sin theta-sin theta,cos theta]),Q=P^(T)AP find PQ^(2014)P^(T)

((sin theta+cos theta)^(2)-1)/(sin theta*cos theta)

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

Let theta=(pi)/(2018) and P=[[cos theta,sin theta-sin theta,cos theta]]Q=P+P^(2)+P^(3)+...+P^(2017) is

If tan theta=(p)/(q) then (p sin theta-q cos theta)/(p sin tehta+q cos theta)=

(1+cos theta+sin theta)/(1+cos theta-sin theta)=(1+sin theta)/(cos theta)

(cos theta)/(1-sin theta)=(1+cos theta+sin theta)/(1+cos theta-sin theta)

If p=(2sin theta)/(1+cos theta+sin theta), and q=(cos theta)/(1+sin theta) , then

If sin theta=p and cos theta=q then find p^(2)+q^(2) is