X2 X₁ + X₂ x2 64-B be bases for R2 and R³, respectively. (a) Compute MȚ(B, B'), the matrix of T with respect to the bases B and B'. (b) Let v = - [¯3]. Find T(v) two ways. First directly using the definition of T and Let T: R² → R³ be defined by T ([x₂]): Let B: = {[¹].[²³]} and B' = = second by using the matrix you found in part (a)
X2 X₁ + X₂ x2 64-B be bases for R2 and R³, respectively. (a) Compute MȚ(B, B'), the matrix of T with respect to the bases B and B'. (b) Let v = - [¯3]. Find T(v) two ways. First directly using the definition of T and Let T: R² → R³ be defined by T ([x₂]): Let B: = {[¹].[²³]} and B' = = second by using the matrix you found in part (a)
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 18CM
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Please use neat notation for the matrices so it is easier to understand. Much appreciated :)
![X2
x₁ + x₂
X2
{[4].[³]}
-0.00
1
be bases for R2 and R³, respectively.
(a) Compute MȚ(B, B'), the matrix of T with respect to the bases B and B'.
(b) Let v = [3]. Find T(v) two ways. First directly using the definition of T and
second by using the matrix you found in part (a)
X1
Let T: R² → R³ be defined by T ([X²])
Let B =
and B'
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbdd7eaed-9b44-4003-81eb-7e8fab9c2687%2F30b01e47-e3ec-45aa-b31c-bf114a5ee368%2Fh8jvpkc_processed.png&w=3840&q=75)
Transcribed Image Text:X2
x₁ + x₂
X2
{[4].[³]}
-0.00
1
be bases for R2 and R³, respectively.
(a) Compute MȚ(B, B'), the matrix of T with respect to the bases B and B'.
(b) Let v = [3]. Find T(v) two ways. First directly using the definition of T and
second by using the matrix you found in part (a)
X1
Let T: R² → R³ be defined by T ([X²])
Let B =
and B'
=
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