Past exam of the mathematics course of the University of Oxford / 2015 / Prelims / Mathematics I / 3 / a / i

Table of contents
- Solution i

Solution

Choose the rotation taking

e_{1}

to

e_{2}

,

e_{2}

to

- e_{1}

and

e_{3}

to itself. The columns of the matrix of a linear map are these images of the standard basis, so

A = 010 - 1 00 001 .

This fixes the orientation used throughout this question.

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