Lesson: Matrix of Linear Transformation Mathematics
In this lesson, we will learn how to find the matrix of linear transformation and the image of a vector under transformation.
Consider the linear transformation which maps to and to .
Find the matrix which represents this transformation.
Where does this transformation map and ?
Suppose the linear transformation sends to and to . What is the absolute value of the determinant of the matrix representing ?
A square of area 1 undergoes a linear transformation. Given that the area of the image is also 1, what can you say about the matrix of the transformation?