Homework Help is Here – Start Your Trial Now!
Math
Algebra
Let T : R3 −→ R3 be a linear map such that T (< 1, 1, 1 >) =< 2, 0, 1 >, T (< 0, −1, 2 >) =< −3, 2, 1 >, T (< 1, 0, 1 >) =< 1, 1, 0 > . Compute T (< 1, −3, 0 >).

Let T : R3 −→ R3 be a linear map such that T (< 1, 1, 1 >) =< 2, 0, 1 >, T (< 0, −1, 2 >) =< −3, 2, 1 >, T (< 1, 0, 1 >) =< 1, 1, 0 > . Compute T (< 1, −3, 0 >).

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 78E: Let S={v1,v2,v3} be a set of linearly independent vectors in R3. Find a linear transformation T from...
See similar textbooks
icon
Related questions
Question

Let T : R3 −→ R3 be a linear map such that
T (< 1, 1, 1 >) =< 2, 0, 1 >, T (< 0, −1, 2 >) =< −3, 2, 1 >, T (< 1, 0, 1 >) =< 1, 1, 0 > .
Compute T (< 1, −3, 0 >).

Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer