Year 12s: what will be the first way you research your future options? >>

matrices question

Question: By considering the effect on the unit square or otherwise write down the matrices M and R which represent a reflection in the line y=x and a rotation about the origin through an agnle

\theta

, respectively, Find the matrix

M^{-1}RM

and describe it in words.
Find the matrix product

R^{-1}MR

and show that

R^{-1}MR

\begin{pmatrix} sin 2\Theta & cos 2\Theta\\ cos 2\Theta & -sin 2\Theta \end{pmatrix}

After doing this question I wanted to ask if

R^{-1}MR =

\begin{pmatrix} sin 2\Theta & cos 2\Theta\\ cos 2\Theta & -sin 2\Theta \end{pmatrix}

is generally the required matrix for a reflection in the line

y=-mx

thanks for helping

(edited 5 years ago)

Quick Reply

Latest

Articles for you

Expert tips on writing a great personal statement for law

Tips on how to prepare for a medicine interview

Why I loved studying online

Where will your law degree take you?

matrices question

Quick Reply

Related discussions

Latest

Trending

Trending

Articles for you