Recall that for any two given real vector spaces V and W, a function T: V - W is linear if T(ax+by) = aT(x)+ bT(y) for any %3D vector x, y in V and for any real numbers a and b. Let T:R →R be a linear transformation such that 1 0. 1 0. 1 1 0. 1 1 Suppose 8. a 9. C Write down the value of a:

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...
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Recall that for any two given real vector
spaces V and W, a function T: V- W is
linear if T(ax+by) = aT(x)+ bT(y) for any
vector x, y in V and for any real numbers a
and b. Let T:R →R be a linear
transformation such that
= T
0.
Suppose
8.
a
Write down the value of a:
Write down the value of b:
Write down the value of c:
Transcribed Image Text:Recall that for any two given real vector spaces V and W, a function T: V- W is linear if T(ax+by) = aT(x)+ bT(y) for any vector x, y in V and for any real numbers a and b. Let T:R →R be a linear transformation such that = T 0. Suppose 8. a Write down the value of a: Write down the value of b: Write down the value of c:
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