Solution Found!
In Exercises, column vectors are written as rows, such as
Chapter 1, Problem 32E(choose chapter or problem)
QUESTION:
In Exercises, column vectors are written as rows, such as \(\mathbf{x}=\left(x_{1}, x_{2}\right)\), and T(x) is written as \(T\left(x_{1}, x_{2}\right)\).
Show that the transformation T defined by \(T\left(x_{1}, x_{2}\right)=\left(4 x_{1}-2 x_{2}, 3\left|x_{2}\right|\right)\) is not linear.
Questions & Answers
QUESTION:
In Exercises, column vectors are written as rows, such as \(\mathbf{x}=\left(x_{1}, x_{2}\right)\), and T(x) is written as \(T\left(x_{1}, x_{2}\right)\).
Show that the transformation T defined by \(T\left(x_{1}, x_{2}\right)=\left(4 x_{1}-2 x_{2}, 3\left|x_{2}\right|\right)\) is not linear.
ANSWER:Solution:
Step 1: Given that T() = (4 - 2, )