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.

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Sample Question Videos

06:05
05:23

Worksheet

Q1:

Consider the linear transformation which maps to and to .

Find the matrix which represents this transformation.

Where does this transformation map and ?

Q2:

Suppose the linear transformation sends to and to . What is the absolute value of the determinant of the matrix representing ?

Q3:

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?

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