. The function f: R R is linear and f((1,0,0)) = f((0, 1, 0)) ((0,0,1)) =...

 

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. The function f: R³ R¹ is linear and f((1,0,0)) = f((0, 1, 0)) ƒ((0,0,1)) = 2 -1 = 5. (a) Find the matrix A. (b) Find f(1,2,3)), f((1,-1,2)), and f((1/5, 1/7,1/9)) by matrix mul- tiplication. . The function f: R³ R¹ is linear and f((1,0,0)) = f((0, 1, 0)) ƒ((0,0,1)) = 2 -1 = 5. (a) Find the matrix A. (b) Find f(1,2,3)), f((1,-1,2)), and f((1/5, 1/7,1/9)) by matrix mul- tiplication.