LetLetƒ : R² → R² be the linear transformation defined by[f] =ƒ(x) = |fG−1=32−1B{(−1, −2), (−1,−1)},C = {(-1,-1), (-3,-4)},be two different bases for R². Find the matrix [ƒ] for ƒ relative to the basis B in the domain and C in the codomain.x.

Answered: Image /qna-images/answer/2f68a311-1c5c-4c4b-ad48-0f8f84f80f8a.jpg

Answered: Let Letf: R² 51²= R² be the linear…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.4: Transistion Matrices And Similarity

Problem 1E: Finding a Matrix for a Linear Transformation In Exercises 1-12, find the matrix Afor T relative to...

See similar textbooks

Similar questions

Find a basis B for R3 such that the matrix for the linear transformation T:R3R3, T(x,y,z)=(2x2z,2y2z,3x3z), relative to B is diagonal.
Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.
The Standard Matrix for a Linear TransformationIn Exercises 1-6, find the standard matrix for the linear transformation T. T(x,y,z)=(x+y,xy,zx)
Finding the Kernel of a Linear Transformation In Exercises 1-10, find the kernel of the linear transformation. T:P3R, T(a0+a1x+a2x2+a3x3)=a1+a2
Finding the Kernel of a Linear Transformation In Exercises 1-10, find the kernel of the linear transformation. T:P2P1, T(a0+a1x+a2x2)=a1+2a2x
Finding a Matrix for a Linear Transformation In Exercises 1-12, find the matrix Afor T relative to the basis B. T:R2R2:T(x,y)=(2xy,yx) B={(1,2),(0,3)}
Finding the Standard Matrix and the Image In Exercise 11-22, a find the standard matrix A for the linear transformations T, b use A to find the image of the vector v, and c sketch the graph of v and its image. T is the reflection in the vector w=(3,1) in R2:T(v)=2projwvv, v=(1,4).
Finding the Standard Matrix and the Image In Exercise 11-22, a find the standard matrix A for the linear transformations T, b use A to find the image of the vector v, and c sketch the graph of v and its image. T is the projection onto the vector w=(3,1) in R2:T(v)=2projwv, v=(1,4).
Let T:P2P4 be the linear transformation T(p)=x2p. Find the matrix for T relative to the bases B={1,x,x2} and B={1,x,x2,x3,x4}.

Recommended textbooks for you

Elementary Linear Algebra (MindTap Course List)

Algebra

ISBN:

9781305658004

Author:

Ron Larson

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Elementary Linear Algebra (MindTap Course List)

Algebra

ISBN:

9781305658004

Author:

Ron Larson

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

Let Letf: R² 51²= R² be the linear transformation defined by 2 - [3 3] x x. f(x) = B C = = {(-1,-2), (-1,-1)}, {(-1,-1), (-3,-4)}, be two different bases for R². Find the matrix [ƒ] for f relative to the basis B in the domain and C in the codomain.