Tet b₁ = [2¹] and b₂ = | (a) The matrix of T relative to the basis B is 6 4 [T] B = [T]E= 5 = 8 (b) The matrix of T relative to the standard basis E for R² is The set B = {₁,₂} is a basis for R². Let T : R² → R² be a linear transformation such that T(6₁) = 66₁ +56₂ and T(6₂) = 4b₁ + ›} 1,
Tet b₁ = [2¹] and b₂ = | (a) The matrix of T relative to the basis B is 6 4 [T] B = [T]E= 5 = 8 (b) The matrix of T relative to the standard basis E for R² is The set B = {₁,₂} is a basis for R². Let T : R² → R² be a linear transformation such that T(6₁) = 66₁ +56₂ and T(6₂) = 4b₁ + ›} 1,
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve b
![Tet b₁ = [2¹] and b₂ = |
(a) The matrix of T relative to the basis B is
6
4
[T] B =
[T]E=
5
=
8
(b) The matrix of T relative to the standard basis E for R² is
The set B = {₁,₂} is a basis for R². Let T : R² → R² be a linear transformation such that T(6₁) = 66₁ +56₂ and T(6₂) = 4b₁ +
›}
1,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3886e624-3ad7-4547-aeab-f36b3d1dd04a%2F2343f787-0082-407b-8c0d-92903a6ca2f1%2Fdc24man_processed.png&w=3840&q=75)
Transcribed Image Text:Tet b₁ = [2¹] and b₂ = |
(a) The matrix of T relative to the basis B is
6
4
[T] B =
[T]E=
5
=
8
(b) The matrix of T relative to the standard basis E for R² is
The set B = {₁,₂} is a basis for R². Let T : R² → R² be a linear transformation such that T(6₁) = 66₁ +56₂ and T(6₂) = 4b₁ +
›}
1,
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