Answered step by step
Verified Expert Solution
Question
1 Approved Answer
Let u be a non-zero vector in R2. Consider the function T: R2 - R2 defined by T(x) = (x . u)u where x .
Let u be a non-zero vector in R2. Consider the function T: R2 - R2 defined by T(x) = (x . u)u where x . u is the dot product. (a) Prove that T is a linear transformation. (b) Consider the unit square with vertices (0, 0), (0, 1), (1, 0), (1, 1). Draw the effect of the linear transformation T on the unit square when u = (1, 2), labelling the new vertices. (c) Find the kernel and image of T, and describe them geometrically
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started