Question: O Define A := 0 - 1 Denote B := (e1, e2, e3) the standard basis of R and let 2 f : R3 -

O Define A := 0 - 1 Denote B := (e1, e2, e3) the standard basis of R and let 2 f : R3 - R be defined, for all x : = (71, 12, 23) in R , by setting: f(x) := A . x. 1. Compute f(e1). f(e2) and f(e3). 2. Determine the coordinates of f(e] ), f(e2 ) in the standard basis. 3. By only studying Matrix A, determine Ker( f) and Im( f ). 4. Give a basis of both Ker(f) and Im( f)

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