Express a linear map in matrix form – math.stackexchange.com

Express a linear map in matrix form – math.stackexchange.com

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Is there anyway to express the linear map $x\mapsto (a^Tx)b, \, a,b,x\in\Bbb R^n$ in matrix form $x\mapsto Ax$? Context: I'm trying to solve an equation in $x\in\Bbb R^n$: $$ab^Tx-(a^Tx)b=c$$ If I'm ...

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