Answer to Question #324615 in Abstract Algebra for Jlove

Question

Let L: R² --R2 be defined by L([u₁ u₂]) = [u1 + 2u2, 2u¹ - u²] Let S be the natural basis for

R² and let T= ([-1,2],[2,0])

a. Find the matrix representation of [T]}s,t.

b. Find L([1,2[) by using the definition of L. and using the matrix found in (a).