5. Let T be defined as in problem 4. Let B = {(1, 0, 0), (0, 1, 0), (0, 0, 1)}. Find the matrix [T]B,B = [T]B so that if T(a, b, c) = (d, e, f), where a, b, c, d, e, and f are real numbers then %3D %3D a. (T]B b C.
5. Let T be defined as in problem 4. Let B = {(1, 0, 0), (0, 1, 0), (0, 0, 1)}. Find the matrix [T]B,B = [T]B so that if T(a, b, c) = (d, e, f), where a, b, c, d, e, and f are real numbers then %3D %3D a. (T]B b C.
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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question 5 please
![4.
Let T:R - R' be defined by
T(r, y, z) = (4r - 3y + 4z, a+ 2y - z, 5r – y+ 3z)
Show that T is a linear transformation.
need help in
question 5, Please
Let T be defined as in problem 4. Let B = {(1, 0, 0), (0, 1, 0), (0, 0, 1)}. Find the matrix [T]B,B = [T]B
so that if T(a, b, c) = (d, e, f), where a, b, c, d, e, and f are real numbers then
5.
[T]B
6.
Let T be defined as in problem 4. Find a basis for ker(T) and a basis for Im(T).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8f08bcc8-9fdd-4b02-ad83-a81ba1e3a72b%2F5a34981d-fdf1-48ea-a0dc-f7febb658ac6%2Fe83dx4q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4.
Let T:R - R' be defined by
T(r, y, z) = (4r - 3y + 4z, a+ 2y - z, 5r – y+ 3z)
Show that T is a linear transformation.
need help in
question 5, Please
Let T be defined as in problem 4. Let B = {(1, 0, 0), (0, 1, 0), (0, 0, 1)}. Find the matrix [T]B,B = [T]B
so that if T(a, b, c) = (d, e, f), where a, b, c, d, e, and f are real numbers then
5.
[T]B
6.
Let T be defined as in problem 4. Find a basis for ker(T) and a basis for Im(T).
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