Let a =< -1, -5, –3 > and b =< 5, –4, –1 >. Show that there are scalars s and t so that sa + tb =< 22, –6, 2 >. You might want to sketch the vectors to get some intuition. s = t =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 1AEXP
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Let a =< -1, -5, –3 > and b =< 5, –4, – 1 >. Show that there are scalars s and t so that
sa + tb =< 22, –6, 2 >.
You might want to sketch the vectors to get some intuition.
S =
t:
||
Transcribed Image Text:Let a =< -1, -5, –3 > and b =< 5, –4, – 1 >. Show that there are scalars s and t so that sa + tb =< 22, –6, 2 >. You might want to sketch the vectors to get some intuition. S = t: ||
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