Consider the following. T: R3 → R2, T(x, y, z) = (x – y, y – z), v = (8, 5, 2), B = {(1, 1, 1), (1, 1, 0), (0, 1, 1)}, B' = {(1, 2), (1, 1)} (a) Find T(v) using the standard matrix. (Enter each vector as a comma-separated list of its components.) (b) Find T(v) using the matrix relative to B and B'. (Enter each vector as a comma-separated list of its components.)
Consider the following. T: R3 → R2, T(x, y, z) = (x – y, y – z), v = (8, 5, 2), B = {(1, 1, 1), (1, 1, 0), (0, 1, 1)}, B' = {(1, 2), (1, 1)} (a) Find T(v) using the standard matrix. (Enter each vector as a comma-separated list of its components.) (b) Find T(v) using the matrix relative to B and B'. (Enter each vector as a comma-separated list of its components.)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 42EQ
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![Consider the following.
T: R3 → R2, T(x, y, z) = (x – y, y – z), v = (8, 5, 2),
B
{(1, 1, 1), (1, 1, 0), (0, 1, 1)}, В 3 {(1, 2), (1, 1)}
(a) Find T(v) using the standard matrix. (Enter each vector as a comma-separated list of its components.)
(b) Find T(v) using the matrix relative to B and B'. (Enter each vector as a comma-separated list of its components.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e43a02c-8167-44db-bd31-ff76af4c002b%2F8c9aa9c4-e90b-48a7-ad58-20b7679b2fd4%2Fibbr2kp_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following.
T: R3 → R2, T(x, y, z) = (x – y, y – z), v = (8, 5, 2),
B
{(1, 1, 1), (1, 1, 0), (0, 1, 1)}, В 3 {(1, 2), (1, 1)}
(a) Find T(v) using the standard matrix. (Enter each vector as a comma-separated list of its components.)
(b) Find T(v) using the matrix relative to B and B'. (Enter each vector as a comma-separated list of its components.)
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