(25) Suppose T: R³ → P₂ is a linear transformation defined by (()) T = (-2a1 + a₂ 4a3) + (7a1 +3a2 + a3)x+ a₁x². Recall
Posted: Thu Jun 30, 2022 7:34 pm
(25) Suppose T: R³ → P₂ is a linear transformation defined by (()) T = (-2a1 + a₂ 4a3) + (7a1 +3a2 + a3)x+ a₁x². Recall that the standard basis on P₂ is {1, x, x²). (a) Find the standard matrix for T. (b) Determine whether T is an isomorphism.