Linear Algebra - How to get matrix form Ax.

  • Thread starter theBEAST
  • Start date
  • #1
364
0

Homework Statement


I know the title is misleading but what I am asking is how I can get this matrix
x1cosθ-x2sinθ
x1sinθ+x2cosθ

to the matrix multiplication form
cosθ -sinθ | x1
sinθ cosθ | x2


where
A=
cosθ -sinθ
sinθ cosθ
x=
x1
x2


Is there a good method to do this or do I have to find it by eye-balling it?
 

Answers and Replies

  • #2
Deveno
Science Advisor
908
6
have you tried perfoming the matrix multiplication:

[tex]\begin{bmatrix}\cos\theta&-\sin\theta\\ \sin\theta&\cos\theta\end{bmatrix}\begin{bmatrix}x_1\\x_2\end{bmatrix} = ?[/tex]

and comparing that to what you want?
 
  • #3
vela
Staff Emeritus
Science Advisor
Homework Helper
Education Advisor
15,167
1,765
What's the usual way of finding the columns of the matrix representing a linear transformation? It should be mentioned in your book somewhere.
 

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