9. Linear Transformations
Definition Of Linear Transformation — Quiz
Test your understanding of definition of linear transformation with 5 practice questions.
Practice Questions
Question 1
Which condition must a transformation $T$ satisfy to be linear?
Question 2
What is $T(\mathbf{0})$ for any linear transformation $T$?
Question 3
Is the transformation $T(x,y)=(x+y,\,2x-y)$ linear?
Question 4
Which mapping from $\mathbb{R}$ to $\mathbb{R}$ is linear?
Question 5
If $T$ is linear and $T(\mathbf{v})=\mathbf{w}$, what is $T(4\mathbf{v})$?