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Kunze Linear Algebra
· Problem 3.2.6
Linear Transformations
Mathematics — Methods · composition-not-invertible
Problem
Let
T
T
T
be a linear transformation from
R
3
R^3
R
3
into
R
2
R^2
R
2
, and let
U
U
U
be a linear transformation from
R
2
R^2
R
2
into
R
3
R^3
R
3
. Prove that the transformation
U
T
UT
U
T
is not invertible. Generalize the theorem.
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