- Thread starter
- #1

#### karush

##### Well-known member

- Jan 31, 2012

- 3,066

if $Q(\theta)$ is

$\left[\begin{array}{rr}

\cos{\theta}&- \sin{\theta}\\

\sin{\theta}&\cos{\theta}

\end{array}\right]$

how is $Q(\theta)$ is a linear transformation from R^2 to itself.

ok I really didn't know a proper answer to this question but presume we would need to look at the unit circle

not sure if this helps

$\left[\begin{array}{rr}

\cos{\theta}&- \sin{\theta}\\

\sin{\theta}&\cos{\theta}

\end{array}\right]$

how is $Q(\theta)$ is a linear transformation from R^2 to itself.

ok I really didn't know a proper answer to this question but presume we would need to look at the unit circle

not sure if this helps

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