Use Matrix Multiplication to Rotate a Vector | Linear Algebra Exercises

Описание: We use matrix multiplication to rotate a vector through four different angles. To solve these examples of rotation via matrix transformations, we use our knowledge of the standard matrix of a rotation in R^2 and the unit circle to build standard matrices for each example, then complete matrix multiplication to carry out the rotation. #linearalgebra

Matrix Transformations and Linear Transformations:    • Find Standard Matrix for Composition of Li...  
Rotation as a Matrix Transformation:

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0:00 Intro
0:36 Standard Matrix and Unit Circle
0:58 Rotation of 45 Degrees
2:18 Rotation of 90 Degrees
2:59 Picture of Rotation
3:38 Rotation of -30 Degrees
4:45 Rotation of 145 Degrees
5:58 Conclusion

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