Topic: Matrices. Cramer's Rule and Transformations in R2
When: Friday, March 12 @ 11:00am
Who: Professor Dan Balaguy
Where: Canvas (https://sierra.instructure.com/courses/347458)
A major application of matrices is to represent linear transformations (that is, generalizations of linear functions such as f(x) = 4x). For example, the rotation of vectors in three-dimensional space is a linear transformation, which can be represented by a rotation matrix R: if v is a column vector (a matrix with only one column) describing the position of a point in space, the product Rv is a column vector describing the position of that point after a rotation. The product of two transformation matrices is a matrix that represents the composition of two transformations. Another application of matrices is in the solution of systems of linear equations.