Answer by user0 for Matrices of linear transformations - Rotations
(a) In the standard basis, you can simply evaluate the cosines and sines in your matrix $A$:$$T_\gamma^\gamma = \frac12\begin{bmatrix}\sqrt2 & -\sqrt2\\\sqrt2 & \sqrt2\end{bmatrix}.$$Your...
View ArticleMatrices of linear transformations - Rotations
a)Define the matrix of linear transformation that maps any vector in $R^2$ to it's correspondent counter clockwise rotation of $\frac{\pi}{4}$ vector, and then find the matrix of that transformation in...
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