Purchase Solution

# Matrix of T(x,y) = (4x - 2y, 2x + y) relative to the basis

Not what you're looking for?

Linear Algebra
Matrix of the Linear Map
Basis of the Linear Space

Let T be a linear map on R^2 defined by T(x,y) = (4x - 2y, 2x + y).
Calculate the matrix of T relative to the basis {α1, α2} where α1 = (1,1) , α2 = (-1,0).

##### Solution Summary

This solution is comprised of a detailed explanation for finding the matrix of the linear map relative to a basis.
It contains step-by-step explanation to find the matrix of T relative to the basis {α1, α2} where α1 = (1,1) , α2 = (-1,0), where T is a linear map on R^2 defined by T(x,y) = (4x - 2y, 2x + y).

Solution provided by:
###### Education
• BSc, Manipur University
• MSc, Kanpur University
###### Recent Feedback
• "Thanks this really helped."
• "Sorry for the delay, I was unable to be online during the holiday. The post is very helpful."
• "Very nice thank you"
• "Thank you a million!!! Would happen to understand any of the other tensor problems i have posted???"
• "You are awesome. Thank you"

##### Free BrainMass Quizzes

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.