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.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.2: The Kernewl And Range Of A Linear Transformation
Problem 59E: Let T:R3R3 be the linear transformation that projects u onto v=(2,1,1). (a) Find the rank and...
icon
Related questions
Question

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).
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).
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Basics of Inferential Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning