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Dank2
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Homework Statement
Let T be a Linear Transformation defined on R4 ---> R4
Is that true that the following is always true ?
KerT + ImT = R4
Homework Equations
The Attempt at a Solution
Since every vector in R4 must be either in KerT or the ImT, so the addition of those subspace contains R. and ofc every vector in ImT or KerT is in R4.