Consider the transformation T:R? → R² given by [2x1 + 3x2] T(xie1 + x2e2) [4x1 – 5x2] 1. Verify that T is a linear transformation. 2. Compute the matrix of T relative to [27 E = {e1, e2} is the standard basis of R? and B = {b1 = b2 = |} 3. Is the transformation T diagonalizable? Why or why not? Justify your answer.

Consider the transformation T:R? → R² given by [2x1 + 3x2] T(xie1 + x2e2) [4x1 – 5x2] 1. Verify that T is a linear transformation. 2. Compute the matrix of T relative to [27 E = {e1, e2} is the standard basis of R? and B = {b1 = b2 = |} 3. Is the transformation T diagonalizable? Why or why not? Justify your answer.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 6CM: Let T:R4R2 be the linear transformation defined by T(v)=Av, where A=[10100101]. Find a basis for a...

See similar textbooks