Linear algebra.Kernel of a linear mapping

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manuel325
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Let ##L## be a linear operator ::##L(A)= Tr(A)## where ##Tr(A)## is the trace of a square matrix
Find a basis of the kernel of L.
Any help would be really appreciated . thanks in advance
 
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How about we start with the definition?
If A is an nxn matrix, what does it mean for A to be in ker L?