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Recent questions in Algebra

### Find a matrix for the linear transformation $T:{\mathbb{R}}^{3}\to {\mathbb{R}}^{3}$ that first rotates a vector by an angle of 30 deegres in the counterclockwise direction about the y-axis, then reflects the vector about the xz-plane, and lastly projects the vector onto the yz-plane.How would you illustrate a matrix transformation reflecting about the xz-plane in an ${\mathbb{R}}^{3}$ space?

Emilio Guzman27 2022-05-22