Solution Found!
Solved: Let S = {v1, v2, v3} be a set of linearly
Chapter 6, Problem 78(choose chapter or problem)
QUESTION:
Let \(S = {v_{1}, v_{2}, v_{3}}\) be a set of linearly independent vectors in \(R^{3}\). Find a linear transformation T from \(R^{3}\) into \(R^{3}\) such that the set \({T(v_{1}), T(v_{2}), T(v_{3})}\) is linearly dependent.
Text Transcription:
S = {v_1, v_2, v_3}
R^3
{T(v_1), T(v_2), T(v_3)}
Questions & Answers
QUESTION:
Let \(S = {v_{1}, v_{2}, v_{3}}\) be a set of linearly independent vectors in \(R^{3}\). Find a linear transformation T from \(R^{3}\) into \(R^{3}\) such that the set \({T(v_{1}), T(v_{2}), T(v_{3})}\) is linearly dependent.
Text Transcription:
S = {v_1, v_2, v_3}
R^3
{T(v_1), T(v_2), T(v_3)}
ANSWER:Step 1 of 3
Let , then