Linear functions R R. Suppose f : R R is a linear function. In R2, the...

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Linear functions R R. Suppose f : R R is a linear function. In R2, the standard basis is 1 {e, ex} = { (b). (i) } A vector in R2 has the form Y and can be written as (-) + (9) = +Y Then from the definition of linear function, f( (Y)) = = Xe1 + Ye2 Xf(e1)+Yf(e2) = f(Xe + Ye2) = f(Xe) + f(Ye2) = Xf(e) + Yf(2) Exercise 6.2.9 Which property of linear functions gives us this result? Linear functions R R. Suppose f : R R is a linear function. In R2, the standard basis is 1 {e, ex} = { (b). (i) } A vector in R2 has the form Y and can be written as (-) + (9) = +Y Then from the definition of linear function, f( (Y)) = = Xe1 + Ye2 Xf(e1)+Yf(e2) = f(Xe + Ye2) = f(Xe) + f(Ye2) = Xf(e) + Yf(2) Exercise 6.2.9 Which property of linear functions gives us this result?