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).
Purchase this Solution
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).
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"
Purchase this Solution
Free BrainMass Quizzes
Solving quadratic inequalities
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.